Chapter 6.1, Problem 15E

To determine

To tell: whether the function represent exponential growth or exponential decay.

Answer to Problem 15E

The function represents exponential growth

Explanation of Solution

Given information:

The function is $y={\left(1.2\right)}^x$

Step 1 Identify the value of the base. The base is $1.2$ ,is greater than 1, so the function represents exponential growth

Step 2 Make a table of values

$x$	$-2$	$-1$	0	1	2	3
$y$	$\frac{1}{1.44}$	$\frac{1}{1.2}$	1	$1.2$	$1.44$	$1.728$

Step 3 plot the point from the table.

Step 4 Draw from left to right, a smooth curve that begin just above the $x$ -axis, passes through the plotted points, and moves up to the right.

  

Hence, the function represents exponential growth .