CPM Homework Help : A2C Problem 6-45

The function $f(x)$ is represented in the graph below. Draw a graph of its inverse function. Be sure to state the domain and range for both $f(x)$ and $f^{−1}(x)$ .

Piecewise graph of line segments connecting in order the following closed points: start at (negative 2, comma negative 3) to (0, comma negative 2), to (2, comma 2), to (5, comma 3).

Hint:

Draw the line $y=x$ and then reflect $f(x)$ across that line, or reverse the coordinates of the points.

More Help:

For $f(x)$ the domain is: $−2\le x\le5$ , and the range is: $−3\le y\le3$ .

Use the eTool below to graph the inverse function.
Click the link at right for the full version of the eTool: 6-45 HW eTool