Chapter 7.4, Problem 46E

To determine

To graph: the given function and its inverse.

Explanation of Solution

Given information:

  $y=2x+5$

Calculation:

Let the function y be $f\left(x\right)$ and its inverse be $f^{-1}\left(x\right)$ . Create a table of values for the function as shown below.

$x$	$-$3	$-$2	$-$1	0	1
$f\left(x\right)$	$-$ 1	1	3	5	7

Now interchange the x- and y- coordinates of the ordered pairs of the function to create a table of values for the inverse function as follows:

$x$	$-$1	1	3	5	7
$f^{-1}\left(x\right)$	$-$3	$-$2	$-$1	0	1

Now plot the coordinates on the graph and join them as shown below.