Answer:
Refer the attached figure.
Step-by-step explanation:
Given : Equations [tex]y=x^3[/tex] and [tex]y=\frac{16}{x}[/tex]
To find : Graph both the equations and Use the graphs to find the exact solutions to the equation [tex]x^3=\frac{16}{x}[/tex]
Solution :
Let, [tex]y=x^3[/tex] ........[1]
[tex]y=\frac{16}{x}[/tex] .......[2]
Now, we plot these two equations.
The graph of [tex]y=x^3[/tex] is shown with green line.
The graph of [tex]y=\frac{16}{x}[/tex] is shown with violet line.
Now, using the graph,
The solution to this system will be their intersection point.
The intersection points are (2,8) and (-2,-8).
If we substitute y from [1] equation into [2]
We get, [tex]x^3=\frac{16}{x}[/tex]
Refer the attached figure below.
