### Home > CALC > Chapter 1 > Lesson 1.2.5 > Problem 1-91

The domain of the function

*f*is the set of*x-*values such that*x*> 0. The range of*f*is the set of*y-*values such that −2 <*y*≤ 5. 1-91 HW eTool (Desmos). Homework Help ✎Sketch a possible graph for

*f*.Find the domain and range of

*f*(*x −*2) + 1.Find the domain and range of

*f*^{−1}(*x*).

Answers vary. Be creative. Just remember to stay within the dotted lines, which represent the domain and range.

The function you drew in part (a) will be shifted two units to the right and one unit up. It's domain and range will shift with it.

For inverse functions: Not only do the the *x- and y*-values switch, the domain and range switch as well.

Use the eTool below to graph a possible function.

Click the link at right for the full version of the eTool: Calc 1-91 HW eTool