Exponential Functions

Let's start by identifying the value of the base of the exponential function. $y = 7^{x}$ Because the $base$ of the function is greater than $1,$ we know that this is an exponential growth function. To draw a graph, we will start by making a table of values.

$x$	$7^{x}$	$y = 7^{x}$
$- 2$	$7^{- 2}$	$\frac{1}{4 9}$
$- 1$	$7^{- 1}$	$\frac{1}{7}$
$0$	$7^{0}$	$1$
$1$	$7^{1}$	$7$

The ordered pairs $(- 2, \frac{1}{4 9}),$ $(- 1, \frac{1}{7}),$ $(0, 1),$ and $(1, 7)$ all lie on the graph of the function. Now, we will plot and connect these points with a smooth curve.

Exponential Functions 1.2 - Solution