Please refer to the picture ​

The graph is shown in the attachment below

From the graph, the solution to the equation is x = -1.2 and x = 1.7

From the picture, we are to draw the graph of the function

for the range of values (that is for values of x from -3 to 3)

First we will create the table of values for the function

Table of values for the function

xy

-31.33

-22

-14

0Undefined

1-4

2-2

3-1.33

(Shown better in the docx attachment)

The graph for the function  (purple lines) is also shown in the attachment.

To use the graph to solve the equation

We will rewrite the equation so that it takes the form

From

Then,

∴

Hence, we will plot the graph for the function on the same graph and the points of intersection gives the solution.

The function is a linear equation

The points of intersection on the x and y axes (x-intercept and y-intercept) are enough to plot a straight line graph as shown in the table below as well as in the graph

xy

01

0.50

(Shown better in the docx attachment)

The straight red lines in the graph shows the plot for the function

From the graph, the points of intersection are -1.2 and 1.7

Hence, the solution to the equation is x= -1.2 and x = 1.7

Learn more here:

a negative exponent is translated as follows:

so, we have