FNGR 2 | Lesson 5 | Practice (Graphing Inverse Functions)

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Graphing Inverse Functions

Use Desmos to graph the following equations on the same axes.  Determine whether the two equations are inverse functions and state your rationale.

1.  \(y=2-3x\) ; \(y=-\dfrac{1}{3}x +\dfrac23\)

2.  \(y=x^2-1\) ; \(y=\mp \sqrt{x+1}\)

3.  \(y=|x|\)  and  \(x=|y|\)

4.  \(y=x^3+1\) ; \(y=\sqrt[3]{x-1}\)

5. \(y=\dfrac{3}{5}  x-1\) ; \(y=\dfrac{5}{3}x + \dfrac{5}{3}\)

Determine if the graphs shown in the figures below are inverses.  Explain your reasoning. Graphs are created using Desmos.com.

6.   Screen Shot 2021-01-15 at 4.20.16 PM

7.   Picture15

8.    Picture16


Check your solutions here.

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Go to Watch (Writing Inverse Equations)

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