Chapter 6, Problem 11CR

To determine

To Graph:Graph the function. Describe the domain and the range.

Answer to Problem 11CR

Graph:

  

The domain is all real numbers and the range is $y>-3$ .

Explanation of Solution

Giveninformation:

The function is $f(x)=2^{x-4}-3$ .

To graph, let’s make the table of values of the function.

$x$	$-2$	$-1$	0	1	2
$f(x)$	$-2.9844$	$-2.9688$	$-2.9375$	$-2.875$	$-2.75$

Now, plotting the ordered points and drawing a smooth curve through the points, we obtain:

  

Conclusion:

From the graph, we can observe that the graph of the function approaches the line $y=-3$ but not intersect it. Therefore, the domain is all real numbers and the range is $y>-3$ .