https://www.khanacademy.org/math/ap-precalculus/xe322600f784e4778:polynomial-and-rational-functions/xe322600f784e4778:function-model-selection-and-assumption-articulation/a/describe-assumptions-and-restrictions-around-buidling-a-function-model 2026-06-26T19:21:03.457278957Z Describe assumptions and restrictions around buidling a function model Describe assumptions and restrictions around buidling a function model. article https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:absolute-value-piecewise-functions/x2f8bb11595b61c86:piecewise-functions/v/piecewise-function-example 2022-11-16T04:22:43.7414897Z Introduction to piecewise functions A piecewise function is a function built from pieces of different functions over different intervals. For example, we can make a piecewise function f(x) where f(x) = -9 when -9 < x ≤ -5, f(x) = 6 when -5 < x ≤ -1, and f(x) = -7 when -1 video https://cdn.kastatic.org/googleusercontent/OpjFP3wmXp1782ckSUe6EOj4sc9c12DfOrGuksyHOCAMKcMYglQ86JF-yVg6MIkRnDREfPiFQmHXHVnn4le2YH3y Introduction to piecewise functions A piecewise function is a function built from pieces of different functions over different intervals. For example, we can make a piecewise function f(x) where f(x) = -9 when -9 < x ≤ -5, f(x) = 6 when -5 < x ≤ -1, and f(x) = -7 when -1 https://cdn.kastatic.org/ka-youtube-converted/tedzsRH0Jas.mp4/tedzsRH0Jas.mp4 229 Function model selection and assumption articulation https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:functions/x2f8bb11595b61c86:average-rate-of-change/v/average-rate-of-change-example-1 2021-05-05T14:53:23Z Worked example: average rate of change from graph Finding the interval in a function's graph where the function has an average rate of change of -4. Sal Khan video https://cdn.kastatic.org/googleusercontent/CqNN-OJeJtlLv-uYi5Fqbbst2sX8SyGkZBst-ltNacjzZoJ7ZMKFpiItgPa7O4wNHFF5yUHYNalSelkDDIR0xQC98A Worked example: average rate of change from graph Finding the interval in a function's graph where the function has an average rate of change of -4. https://cdn.kastatic.org/ka-youtube-converted/TEXSW-o8674.mp4/TEXSW-o8674.mp4 135 Function model selection and assumption articulation https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:functions/x2f8bb11595b61c86:average-rate-of-change/v/average-rate-of-change-example-3 2021-05-05T14:53:19Z Worked example: average rate of change from table Finding the average rate of change of a function over the interval -5<x<-2, given a table of values of the function. Sal Khan video https://cdn.kastatic.org/googleusercontent/K5Oz5Ei0pEJapvBIGYh247ZvjlyvQ7-8qFKjRmioW2NLlL4gexdxQg1GrrmGx7LVACqnHWqbyVrzyjvrO2_SrPx5 Worked example: average rate of change from table Finding the average rate of change of a function over the interval -5<x<-2, given a table of values of the function. https://cdn.kastatic.org/ka-youtube-converted/U1lQbh21y1k.mp4/U1lQbh21y1k.mp4 140 Function model selection and assumption articulation https://www.khanacademy.org/math/ap-precalculus/xe322600f784e4778:polynomial-and-rational-functions/xe322600f784e4778:function-model-selection-and-assumption-articulation/e/identify-the-appropriate-function-for-a-given-scenario 2026-06-26T18:30:50.997824794Z Identify the appropriate function for a given scenario Identify the appropriate function for data provided in tables, scatter plots and contextual scenarios. Courtney Chernin-Hitchings exercise https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:functions/x2f8bb11595b61c86:interpreting-features-of-graphs/e/interpret-features-func-2 2026-04-28T16:00:41.188852205Z Graph interpretation word problems Match features of graphs of modeling functions to their real-world meaning. Tomer Gal exercise