Composite functions desmos activity11/23/2023 I will go back to this post when i get time and see if i missed anything. Review of Function Composition Introduce Inverse Functions (notes sheet) Copy notes onto sheet from this POWERPOINT (no need to copy graphs- just problems) HW: complete practice worksheet 1 Homework: IXLs O.6 and O.7 3 Finish the notes on logarithmic inverse functions. Personally I don’t find geogebra intuitive. It then practices finding inverses and graphing inverses. This exploration with composing functions leads students to the concept of inverse functions by noticing that for some functions f(g(x))g(f(x)) and that the line yx is produced by each composition. French translation courtesy of Fred Ouellet. This exploration with composing functions leads students to the concept of inverse functions by noticing that for some functions f(g(x))g(f(x)) and that the line yx is produced by each composition. To get more capability you have to download the full app. In this activity, students sort graphs, equations, and contexts according to whether each one represents a function. Geogebra has a browser supported graphing calculator as well but it seems to have limited capability and is geared more towards Euclidean constructions. activity in almost every class that allows me to collect student responses and. I can’t wait when desmos offers full 3d graphing capability (and i dont mean those hacky 2d parametric curves which give the impression of depth, but that might be a way for desmos coders to wrap their heads around graphing 3d and start this project).ĭesmos is the best 2d browser supported graphing calculator, as far as ease of use, share-ability. composite functions, logarithmic and exponential functions, vectors, etc. This has been modified for remedial students. They should have an initial understanding of both as well as a conceptual understanding of the vertical line test enough so that it isnt just a trick for them. Wow… once again i am in awe of desmos capability. This is an application of a students understanding of domain and range. My ultimate goal evolved into graphing the more general problem, (big thanks to eric for his code), without actually having to write out the explicit equation, namely rotating the parabola y = x^2 by the counterclockwise angle a, about the generic center of rotation (h,k), defined by the user and implemented by sliders (or entered manually).Īnd yes to find such an equation explicitly you would have to compose 4 functions which is a fun exercise.īy the way i was inspired to get that solution by this article, if you scroll down to ‘transformations’
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