Chapter 11, Problem 1RP

To determine

To graph: The function $f\left(x\right)=4^{3+x}$.

Explanation of Solution

Given:

The function:

$f\left(x\right)=4^{3+x}$

Graph:

Consider the function,

$f\left(x\right)=4^{3+x}$

Now, determine the coordinate points using the equation $y=4^{3+x}$ as shown in the below table.

Values of $x$	Values of $y$	Coordinate points
$-3$	$1$	$\left(-3,1\right)$
$-2$	$4$	$\left(-2,4\right)$
$-1$	$16$	$\left(-1,16\right)$
$0$	$64$	$\left(0,64\right)$
$1$	$256$	$\left(1,256\right)$
$2$	$1024$	$\left(2,1024\right)$

Draw the graph using the coordinate points from the above table.

Thus, the graph obtained is as shown below:

The curve does not intersect the $x$-axis that is the function does not have any negative value although it approaches zero when $x\to -\infty$.