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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