Chapter 11.2, Problem 15E

To determine

To graph: the given exponential function or inequality.

Answer to Problem 15E

Explanation of Solution

Given:

The given function $y>-4^{x+2}$ .

Calculation:

First graph the function $y>-4^{x+2}$ .

Create a table to use some points for the graph.

$x$	$-4^{x+2}$
$-2$	$1.9375$
$-1$	$1.75$
$0$	$1$
$1$	$-2$
$2$	$-14$

use the origin as a test point

  $4^0+2=-1+2=1>0$ conclude that the origin does not belong to the region and therefore the yellow region is the solution.

Thegraph of $y>2^x-4$ is shown below: