Chapter 4.1, Problem 1E

To determine

To Find: the extreme values of the given graph.

Answer to Problem 1E

The extreme values are:

Minima at $\left(-2,0\right)$ and $\left(2,0\right)$ , maxima at $\left(0,2\right)$ .

Explanation of Solution

Given information:

The graph is:

  

Concept Used:

The extreme values are the points where any x values minimum and maximum value of y is obtained.

From the given graph it can be seen that at $x=-2$ and $x=2$ the value of y is $y=0$ , that is minimum.

Also, at $x=0$ the value of y is maximum, that is, $y=2$ .

Conclusion:

The extreme values are:

Minima at $\left(-2,0\right)$ and $\left(2,0\right)$ , maxima at $\left(0,2\right)$ .