### Home > APCALC > Chapter 1 > Lesson 1.3.2 > Problem 1-118

Some of the basic functions have special qualities that you have investigated in this chapter. 1-118 HW eTool (Desmos). Homework Help ✎

Sketch

on your paper. Darken in the largest portion of the graph containingfor which the function passes both the horizontal and vertical line tests. State the restricted domain and range for this portion of the graph.Graph the sin curve.

The domain is all of the

-values included in the graph and the range is all of the-values that are included in the graph. Remember when looking at the graph thatequals about . We use the darkened portion of the graph to sketch

, making sure it is a function. Then state the domain and range.Graph the inverse of

by reflecting the graph ofacross the line .Repeat parts (a) and (b) for

.Repeat the steps in parts a and b using

.

Use the eTool below to view the graphs.

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