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# Inverse Function, Introduction, 2 Student References + 7 Assignments for SMART

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Included in this zip folder are 10 SMART Notebook files. 1 file is instruction, 2 are student reference handouts and 7 are assignment files. A brief description of each.

Instruction file is an 80 slide presentation that instructs the learner on:
1. Reflections over the x axis
2. Reflections over the y axis
3. Reflections over both the x and y axis
4. Reflections over the line y=x. (EMPHASIS OF THE FILE)
5. Reflections over y=-x
6. The vertical line Test
7. The horizontal line test

Student Reference #1- The emphasis is graphical reflections of points over the lines mentioned above. The rules of reflections are highlighted via reflections of a single point.

Student Reference #2- The emphasis is algebraically reflecting an equation (or function) over the lines mentioned above with emphasis on reflecting over y=x.

Assignment file #1 is a 24 question multiple choice assignment. The emphasis is reflecting points over the 5 lines mentioned above. It is on 1 page for easy printing and coded for SMART Response.

Assignment file #2 is a 24 question multiple choice assignment. The emphasis is reflecting graphs and determining if images and pre-images are functions.It is on 1 page for easy printing and coded for SMART Response.

Assignment file #3 is a 24 question multiple choice assignment. The emphasis is determining if images and pre-images are functions and developing the basis of understanding the inverse function is a reflection over y=x. The vertical and horizontal line tests should be used. The definition of one-to-one function is introduced. It is on 1 page for easy printing and coded for SMART Response.

Assignment file #4 is a 24 question multiple choice assignment. The emphasis is functional notation and the reflections over the 5 lines outlined in these activities. It is on 1 page for easy printing and coded for SMART Response.

Assignment file #5 is a 24 question multiple choice assignment. The emphasis is the inverse function only. The student is asked to find function and inverse function values from graphs and equations. The student is also asked to write an algebraic rule for an inverse function given an equation. It is on 1 page for easy printing and coded for SMART Response.

Assignment #5A is like #5 but 20 problems.

Assignment file #6 is a 24 question assignment. The focus is understanding f[g(x)]=g[f(x)] if functions are inverses. Students have to evaluate functions from graphs and write rules of f[g(x)] and g[f(x)] algebraically. Students also are asked to recognize inverses given a graph of 2 functions. It is on 1 page for easy printing and coded for SMART Response.

Thank you for looking
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3 Days

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