Question

The graph of f is show below. Sketch the inverse.

Answer 1

To get the graph of the inverse of a function we can reflect the original graph across the origin, we achieve this, graphically, by plotting the equation y=x ( a line with slope one that passes through the origin) once we do this we just reflect the original graph. This is shown below:

Therefore, the graph of the inverse function is:

Now that we have the graph of the inverse we can see its domain and its range, from the graph we have that:

`\begin{gathered} d:-4\leq x<5 \\ r:-2\leq x<4 \end{gathered}`