### Home > GB8I > Chapter 10 Unit 11 > Lesson INT1: 10.2.1 > Problem10-84

10-84.

In Chapters 2 and 8 you saw some examples of piecewise graphs. At right is an equation for a piecewise graph:

This equation states that for non-negative input values the top equation is used and for negative input values, the bottom equation is used.

$f ( x ) = \left\{ \begin{array} { c c } { x + 2 } & { \text { if } x \geq 0 } \\ { ( \frac { 1 } { 4 } ) ^ { x } } & { \text { if } x < 0 } \end{array} \right.$

For example, for an input of $x = 3$, the output is $3 + 2 = 5$ and therefore the point $\left(3, 5\right)$ is on the graph. However, for an input of $x = –2$, the output is $(\frac{1}{4})^{-2}=16$ and therefore the point $\left(–2, 16\right)$ is on the graph. Use various other input values and sketch a graph of this piecewise function.

Complete the table in the eTool below to create a graph of the piecewise function.
Click the link at right for the full version of the eTool: 10-84 HW eTool