Chapter 9.8, Problem 1P

Solve each system by graphing.

$y=x^2+2$

$y=x+2$

To determine

To solve the system by graphing.

Explanation of Solution

Given information:

The equation is

  $\begin{array}{l}y=x^2+2\\ y=x+2\end{array}$

Graph : Sketch the graph using graphing utility.

Step 1: Press WINDOW button to access the Window editor.

Step 2: Press $\boxed{\text{Y=}}$ button.

Step 3: Enter the expression $\left(x^2+2\right),\left(x+2\right)$ which is required to graph.

Step 4: Press GRAPH button to graph the function and adjust the windows according to the graph.

The graph is obtained as:

  

Interpretation :

From the above graph, it can be observed that there are two intersect point $\left(0,2\right)\text{ and }\left(1,3\right)$ for the given system of equation $y=\left(x^2+2\right)\text{, }y=\left(x+2\right)$