Chapter 6.8, Problem 7PT

To determine

To calculate: The unique real zeros does the graph have,

  

Answer to Problem 7PT

The graph has the unique zeros: $3-\text{times}$ .

Explanation of Solution

Given information:

The unique real zeros does the graph have, the provided options are:

  $\begin{array}{l}A\text{ 0 C 3}\\ \text{B 2 D 5}\end{array}$

Calculation:

Consider the graph given in the question,

Look at the graph there are three points where the graph touches the $x-\text{axis}$ .

As generally observed that when the graph touches the $x-\text{axis}$ or hits the $x-\text{axis}$ , solution is real on that time.

Here the graph touches the $x-\text{axis}$ $3-\text{times}$ then it has $3$ number of solutions.

It means the number of hits of the graph line on the $x-\text{axis}$ is equal to the number of solutions.

Thus, the graph line touches the $x-\text{axis}$ : $3-\text{times}$ .