Chapter 11.7, Problem 40PPE

To determine

To solve the equation $g\left(x\right)=x^2-4$ with graph

Answer to Problem 40PPE

The graph is shown below

Explanation of Solution

Given:

Given equation

  $g(x)=x^2-4$

Calculation:

In order to solve the equation $g(x)=x^2-4$ ,

Here as we know that $g\left(x\right)=y$

So we can say that $y=x^2-4$

Firstly we draw a table considering the values of $x$ and $y$

x	y = $x^2$ -4	(x, y)
-2	y = ${\left(-2\right)}^2$ -4 y = 0	(-2. 0)
0	y = ${\left(0\right)}^2$ -4 y = -4	(0, -4)
2	y = ${\left(2\right)}^2$ -4 y = 0	(2, 0)

  

Here above the graph is appear by the eqn.

Thus, the solution is correct.