# 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.

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