Explore math with our beautiful, free online graphing calculator. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more.Explore math with our beautiful, free online graphing calculator. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more.Explore math with our beautiful, free online graphing calculator. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more.Texas Grade 8 Science, Biology, Grade 8 Math, Algebra 1, Algebra 2 Version.Desmosは、すべての生徒さんに数学を楽しく学んでもらうための優れた計算機とデジタルツール、学習プログラムをご用意しています。 Desmos | Beautiful, Free MathBy purchasing the Desmos Math 6-A1, your team will get access to Math 6–8 and Algebra 1 lessons that are adapted from Illustrative Math and aligned to standards, as well as district-level program support dedicated to ensuring success for coaches, teachers, students, and parents and guardians.Explore math with our beautiful, free online graphing calculator. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more.เครื่องคิดเลขวิทยาศาสตร์ออนไลน์ที่ยอดเยี่ยมและใช้งานได้ ...Explore math with our beautiful, free online graphing calculator. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more.Explore math with our beautiful, free online graphing calculator. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more.Explore math with our beautiful, free online graphing calculator. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more.var elt = document.getElementById('my-calculator'); var calculator = Desmos.GraphingCalculator(elt); The object returned is a Desmos.GraphingCalculator object, which exposes methods for setting expressions, changing the viewport, etc. options is an optional object that specifies features that should be included or excluded.Hold and drag along a curve to see the coordinates change under your finger. Scientific Calculator: Just type in any equation you want to solve and Desmos will show you the answer. It can handle square roots, logs, absolute value, and more. Inequalities: Plot cartesian and polar inequalities.Explore math with our beautiful, free online graphing calculator. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more.Een handige, gratis online wetenschappelijke rekenmachine met geavanceerde functies voor het berekenen van percentages, breuken, exponentiële functies, logaritmes, trigonometrie, statistieken en meer.Explore math with our beautiful, free online graphing calculator. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more.By purchasing the Desmos Math 6-A1, your team will get access to Math 6–8 and Algebra 1 lessons that are adapted from Illustrative Math and aligned to standards, as well as district-level program support dedicated to ensuring success for coaches, teachers, students, and parents and guardians.Explore math with our beautiful, free online graphing calculator. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more.免费使用Desmos精美的在线图形计算器来探索数学奥妙。 功能包含绘制函数图形和散点图，视化代数方程式、新增滑块，动画图表等。 快来使用我们既精美又免费的在线图形计算器，一同探索数学！Explore math with our beautiful, free online graphing calculator. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more.Explore math with our beautiful, free online graphing calculator. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more.Desmos was founded by Eli Luberoff, a math and physics double major from Yale University, [3] and was launched as a startup at TechCrunch 's Disrupt New York conference in 2011. [4] As of September 2012, it had received around 1 million US dollars of funding from Kapor Capital, Learn Capital, Kindler Capital, Elm Street Ventures and Google ...Feb 15, 2023 · Welcome to the Desmos Graphing Calculator! Gr... Set an Axis to a Logarithmic Scale A logarithmic scale is multiplicative instead... 3rd Annual Desmos Global Math Art Contest Update as of February 15, 2023: The 2022 Ar... What is Desmos Test Mode? Test Mode Desmos partners with high-stakes te... What Accessibility features does Desmos offer? Desmos calculators are embedded on math assessments within the Smarter Balanced Assessment Consortium system. See the designated state profiles on this page for practice calculators.Explore math with our beautiful, free online graphing calculator. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more.Explore math with our beautiful, free online graphing calculator. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more.Aug 17, 2022 · Getting Started: Desmos Graphing Calculator. Updated 1 year ago. Welcome to the Desmos Graphing Calculator! Graph functions, plot data, evaluate equations, explore transformations, and much more—all for free. Get started with the video on the right, then dive deeper with the resources below. Keyboard Shortcuts. Many of the functions on our three different keyboards also have shortcuts available. Type ans to use the previous result in a new expression. Use forward slash (or division) to enter a fraction. Try sqrt for square roots and nthroot for cube roots and more! You can also instantly convert decimal answers into fractions.Explore math with our beautiful, free online graphing calculator. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more.Desmosは、すべての生徒さんに数学を楽しく学んでもらうための優れた計算機とデジタルツール、学習プログラムをご用意しています。 Desmos | Beautiful, Free MathEntdecke Mathe mit unserem tollen, kostenlosen Online-Grafikrechner: Funktionsgraphen und Punkte darstellen, algebraische Gleichungen veranschaulichen, Schieberegler hinzufügen, Graphen animieren u.v.m.Explore math with our beautiful, free online graphing calculator. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more.Explore math with our beautiful, free online graphing calculator. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more.Explore math with our beautiful, free online graphing calculator. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more.Explore math with our beautiful, free online graphing calculator. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more.Explore math with our beautiful, free online graphing calculator. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more.Explore math with our beautiful, free online graphing calculator. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more.เครื่องคิดเลขวิทยาศาสตร์ออนไลน์ที่ยอดเยี่ยมและใช้งานได้ ...Explore math with our beautiful, free online graphing calculator. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more.The Desmos websites and software have been written to conform to the WCAG 2.1 accessibility guidelines.Examples include a robust set of keyboard shortcuts across our products, respecting font-size settings of low vision users, ensuring that our colors have sufficient contrast, providing screen reader and Braille access to our equation editor, and making graphs accessible to fully blind ...Desmos calculators are embedded on math assessments within the Smarter Balanced Assessment Consortium system. See the designated state profiles on this page for practice calculators.Explore math with our beautiful, free online graphing calculator. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more.Explore math with our beautiful, free online graphing calculator. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more.Desmos bietet leistungsstarke Taschenrechner, digitale Mathe-Aufgaben und Lehrpläne, die allen Schüler:innen helfen sollen, Mathe zu lernen und zu lieben.Welcome to the Desmos Graphing Calculator!Graph functions, plot data, evaluate equations, explore transformations, and much more—all for free. Get started with the video on the right, then dive deeper with the resources below.Explore math with our beautiful, free online graphing calculator. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more.Explore math with our beautiful, free online graphing calculator. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more.Desmos Classroom Activities ... Loading...Desmos bietet leistungsstarke Taschenrechner, digitale Mathe-Aufgaben und Lehrpläne, die allen Schüler:innen helfen sollen, Mathe zu lernen und zu lieben.Explore math with our beautiful, free online graphing calculator. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more.Una calculadora científica en línea, fantástica y gratuita, con funciones avanzadas para evaluar porcentajes, fracciones, funciones exponenciales, logaritmos, trigonometría, estadísticas y más.Explore math with our beautiful, free online graphing calculator. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more.Desmos Classroom Activities ... Loading...The testing calculator is meant to mimic the configurations offered in national and international assessments that embed our calculator tools on their exams. Some common differences users see in the testing calculator include item options, keypad layout, and default angle mode. The item options in our testing calculators often have images ...Explore math with our beautiful, free online graphing calculator. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more.var elt = document.getElementById('my-calculator'); var calculator = Desmos.GraphingCalculator(elt); The object returned is a Desmos.GraphingCalculator object, which exposes methods for setting expressions, changing the viewport, etc. options is an optional object that specifies features that should be included or excluded.Explore math with our beautiful, free online graphing calculator. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more.Desmos Classroom Activities ... Loading... Explore math with our beautiful, free online graphing calculator. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more.Explore math with our beautiful, free online graphing calculator. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more.Explore math with our beautiful, free online graphing calculator. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more.Apr 7, 2022 · All the computational power of our graphing calculator, just without the graph -- welcome to the Desmos Scientific Calculator! Desmos Classroom is a free teaching and learning platform, now part of Amplify. Teachers Find interactive and creative lessons for your class, or build your own.Explore math with our beautiful, free online graphing calculator. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more.At Desmos, our mission is to help every student learn math and love learning math. With that in mind, we’ve assembled a collection of unique and engaging digital activities at teacher.desmos.com. And with our Activity Builder, you can even create your own! Get started with the video on the right, then dive deeper with the resources below.Feb 16, 2023 · Move beyond arithmetic with the Desmos scientific calculator! In addition to the basic operations, take advantage of a variety of built-in functions for exploring trigonometry, statistics,... Explore math with our beautiful, free online graphing calculator. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more.Harika ve ücretsiz online grafik hesap makinemiz ile matematiği keşfet. Fonksiyonların grafiğini çizme, nokta işaretleme, cebirsel denklemleri görselleştirme, kaydırma çubuğu ekleme, grafikleri hareketlendirme ve daha fazlası.Desmos Classroom Activities ... Loading... Explore math with our beautiful, free online graphing calculator. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more.Explore math with our beautiful, free online graphing calculator. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more.Explore math with our beautiful, free online graphing calculator. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more.Desmos Classroom Activities ... Loading...Aug 17, 2022 · Getting Started: Desmos Graphing Calculator. Updated 1 year ago. Welcome to the Desmos Graphing Calculator! Graph functions, plot data, evaluate equations, explore transformations, and much more—all for free. Get started with the video on the right, then dive deeper with the resources below. Desmos's first Global Math Art Contest in 2020 featured over 4,000 graphs from over 100 countries around the world. Here are the winners and finalists, chosen from countless examples of incredible effort, artistry, ingenuity, and creativity.A beautiful, free 4-Function Calculator from Desmos.com.Explore math with our beautiful, free online graphing calculator. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more.Explore math with our beautiful, free online graphing calculator. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more.Keyboard Shortcuts. Many of the functions on our three different keyboards also have shortcuts available. Type ans to use the previous result in a new expression. Use forward slash (or division) to enter a fraction. Try sqrt for square roots and nthroot for cube roots and more! You can also instantly convert decimal answers into fractions.Explore math with our beautiful, free online graphing calculator. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more.Desmosの数学アートコンテストは、13～18歳対象に毎年1回開催されます。数学を愛する生徒さんがグラフ計算機を使って、数学の知識とスキル、そして創造力を競います。Desmos
Explore math with our beautiful, free online graphing calculator. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more.Explore math with our beautiful, free online graphing calculator. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more.A beautiful, free 4-Function Calculator from Desmos.com.A beautiful, free 4-Function Calculator from Desmos.com.Desmos expressly disclaims all warranties of any kind, whether express or implied, with respect to the Desmos services and all services provided by any of our partner (whether api partners, linked partners, or otherwise), including, but not limited to, the implied warranties of merchantability, fitness for a particular use or purpose, and non ...Explore math with our beautiful, free online graphing calculator. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more.Explore math with our beautiful, free online graphing calculator. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more.Una calculadora científica en línea, fantástica y gratuita, con funciones avanzadas para evaluar porcentajes, fracciones, funciones exponenciales, logaritmos, trigonometría, estadísticas y más.Desmos propose les meilleures calculatrices pour la classe, des activités mathématiques numériques et un programme d'études pour aider chaque élève à aimer les mathématiques pour mieux les apprendre.Explore math with our beautiful, free online graphing calculator. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more.Explore math with our beautiful, free online graphing calculator. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more.North Carolina Grade 8, Math 1, and above Version. 2. powered byExplore math with our beautiful, free online graphing calculator. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more.Explore math with our beautiful, free online graphing calculator. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more.Desmos expressly disclaims all warranties of any kind, whether express or implied, with respect to the Desmos services and all services provided by any of our partner (whether api partners, linked partners, or otherwise), including, but not limited to, the implied warranties of merchantability, fitness for a particular use or purpose, and non ...North Carolina Grade 8, Math 1, and above Version. 2. powered byFor our 3rd annual art contest, we decided it was too hard to choose winners from the thousands of amazing graphs submitted in each age category. So we picked 20 to feature from each! Browse these graphs below, and click on any of them to learn more. 2022 2021 2020. Ages 13-14 Ages 15-16 Ages 17-18 Ages 19+.Explore math with our beautiful, free online graphing calculator. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more.Explore math with our beautiful, free online graphing calculator. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more.Explore math with our beautiful, free online graphing calculator. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more.We've updated our Terms of Service.Read about the changes. ... Math ToolsJan 9, 2015 · Scientific Calculator: Just type in any equation you want to solve and Desmos will show you the answer. It can handle square roots, logs, absolute value, and more. Inequalities: Plot cartesian... Explore math with our beautiful, free online graphing calculator. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more.For our 3rd annual art contest, we decided it was too hard to choose winners from the thousands of amazing graphs submitted in each age category. So we picked 20 to feature from each! Browse these graphs below, and click on any of them to learn more. 2022 2021 2020. Ages 13-14 Ages 15-16 Ages 17-18 Ages 19+.Hold and drag along a curve to see the coordinates change under your finger. Scientific Calculator: Just type in any equation you want to solve and Desmos will show you the answer. It can handle square roots, logs, absolute value, and more. Inequalities: Plot cartesian and polar inequalities.Desmos calculators are embedded on math assessments within the Smarter Balanced Assessment Consortium system. See the designated state profiles on this page for practice calculators.Desmos's first Global Math Art Contest in 2020 featured over 4,000 graphs from over 100 countries around the world. Here are the winners and finalists, chosen from countless examples of incredible effort, artistry, ingenuity, and creativity.Get real-time support and feedback from fellow Desmos Educators around the world. Looking for Computation Layer (CL) support? Explore our CL documentation and join the discussion at cl.desmos.com. Video tutorials and more! Check out video playlists and past webinars on Desmos's Youtube Channel.Explore math with our beautiful, free online graphing calculator. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more.Explore math with our beautiful, free online graphing calculator. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more.Explore math with our beautiful, free online graphing calculator. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more.Keyboard Shortcuts. Many of the functions on our three different keyboards also have shortcuts available. Type ans to use the previous result in a new expression. Use forward slash (or division) to enter a fraction. Try sqrt for square roots and nthroot for cube roots and more! You can also instantly convert decimal answers into fractions.Una calculadora científica en línea, fantástica y gratuita, con funciones avanzadas para evaluar porcentajes, fracciones, funciones exponenciales, logaritmos, trigonometría, estadísticas y más.CTRL + ALT + SHIFT + DOWN ARROW. CTRL + Option + SHIFT + DOWN ARROW. Speak Answer. CTRL + ALT + =. CTRL + Option + SHIFT + RIGHT ARROW. Show Answer as Decimal or Fraction. ALT + SHIFT + A. COMMAND + SHIFT + A. You can learn more about accessibility features in the Desmos calculators in our accessibility documentation.Explore math with our beautiful, free online graphing calculator. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more.Explore math with our beautiful, free online graphing calculator. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more.Desmos Classroom is a free teaching and learning platform, now part of Amplify. Teachers Find interactive and creative lessons for your class, or build your own.Explore math with our beautiful, free online graphing calculator. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more.A beautiful, free 4-Function Calculator from Desmos.com.Una calculadora científica en línea, fantástica y gratuita, con funciones avanzadas para evaluar porcentajes, fracciones, funciones exponenciales, logaritmos, trigonometría, estadísticas y más.CTRL + ALT + SHIFT + DOWN ARROW. CTRL + Option + SHIFT + DOWN ARROW. Speak Answer. CTRL + ALT + =. CTRL + Option + SHIFT + RIGHT ARROW. Show Answer as Decimal or Fraction. ALT + SHIFT + A. COMMAND + SHIFT + A. You can learn more about accessibility features in the Desmos calculators in our accessibility documentation.Explore math with our beautiful, free online graphing calculator. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more.A beautiful, free 4-Function Calculator from Desmos.com.Explore math with our beautiful, free online graphing calculator. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more.Desmos propose les meilleures calculatrices pour la classe, des activités mathématiques numériques et un programme d'études pour aider chaque élève à aimer les mathématiques pour mieux les apprendre.เครื่องคิดเลขวิทยาศาสตร์ออนไลน์ที่ยอดเยี่ยมและใช้งานได้ ...Desmos Classroom Activities ... Loading...Explore math with our beautiful, free online graphing calculator. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more.Explore math with our beautiful, free online graphing calculator. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more.Explore math with our beautiful, free online graphing calculator. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more.A beautiful, free 4-Function Calculator from Desmos.com.The testing calculator is meant to mimic the configurations offered in national and international assessments that embed our calculator tools on their exams. Some common differences users see in the testing calculator include item options, keypad layout, and default angle mode. The item options in our testing calculators often have images ...Desmos Classroom Activities ... Loading...Aug 17, 2022 · Getting Started: Desmos Graphing Calculator. Updated 1 year ago. Welcome to the Desmos Graphing Calculator! Graph functions, plot data, evaluate equations, explore transformations, and much more—all for free. Get started with the video on the right, then dive deeper with the resources below. Explore math with our beautiful, free online graphing calculator. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more.Explore math with our beautiful, free online graphing calculator. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more.iPhone. iPad. Move beyond arithmetic with the Desmos scientific calculator! In addition to the basic operations, take advantage of a variety of built-in functions for exploring trigonometry, statistics, combinatorics, and more. Or, define and evaluate your own functions -- all for free. At Desmos, we imagine a world of universal math literacy ...Explore math with our beautiful, free online graphing calculator. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more.Odkrywaj matematykę za pomocą naszego wspaniałego, darmowego kalkulatora graficznego online. Rysuj wykresy funkcji i nanoś na nie punkty, wizualizuj równania algebraiczne, dodawaj suwaki, twórz animowane wykresy i wiele więcej.Desmosの数学アートコンテストは、13～18歳対象に毎年1回開催されます。数学を愛する生徒さんがグラフ計算機を使って、数学の知識とスキル、そして創造力を競います。Explore math with our beautiful, free online graphing calculator. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more.The Desmos websites and software have been written to conform to the WCAG 2.1 accessibility guidelines.Examples include a robust set of keyboard shortcuts across our products, respecting font-size settings of low vision users, ensuring that our colors have sufficient contrast, providing screen reader and Braille access to our equation editor, and making graphs accessible to fully blind ...Desmosは、すべての生徒さんに数学を楽しく学んでもらうための優れた計算機とデジタルツール、学習プログラムをご用意しています。 Desmos | Beautiful, Free MathExplore math with our beautiful, free online graphing calculator. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more.Odkrywaj matematykę za pomocą naszego wspaniałego, darmowego kalkulatora graficznego online. Rysuj wykresy funkcji i nanoś na nie punkty, wizualizuj równania algebraiczne, dodawaj suwaki, twórz animowane wykresy i wiele więcej.Explore math with our beautiful, free online graphing calculator. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more.A beautiful, free 4-Function Calculator from Desmos.com.Explore math with our beautiful, free online graphing calculator. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more.iPhone. iPad. Move beyond arithmetic with the Desmos scientific calculator! In addition to the basic operations, take advantage of a variety of built-in functions for exploring trigonometry, statistics, combinatorics, and more. Or, define and evaluate your own functions -- all for free. At Desmos, we imagine a world of universal math literacy ...Desmosの数学アートコンテストは、13～18歳対象に毎年1回開催されます。数学を愛する生徒さんがグラフ計算機を使って、数学の知識とスキル、そして創造力を競います。Explore math with our beautiful, free online graphing calculator. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more.Explore math with our beautiful, free online graphing calculator. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more.Get real-time support and feedback from fellow Desmos Educators around the world. Looking for Computation Layer (CL) support? Explore our CL documentation and join the discussion at cl.desmos.com. Video tutorials and more! Check out video playlists and past webinars on Desmos's Youtube Channel.Explore math with our beautiful, free online graphing calculator. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more.Desmos expressly disclaims all warranties of any kind, whether express or implied, with respect to the Desmos services and all services provided by any of our partner (whether api partners, linked partners, or otherwise), including, but not limited to, the implied warranties of merchantability, fitness for a particular use or purpose, and non .... Michael afton