Question

Use the graph of f to estimate the local maximum and local minimum. (2 points)

Answer 1

The fourth option because local means in the part of the graph you can see. And the local minima are -2, 4 and 2, -4

Answer 2

Local maxima : (0,0)

Local minima: (-2,-4) (2,-4)

Explanation:

we are given a graph

Local maxima:

we know that local maxima is a point where function changes from increasing to decreasing

or a point where curve changes from moving upward to downward

we can see that there is only one point where curve changes from increasing to decreasing

so, there will be only one local maxima

and that is at (0,0)

Local minima:

we know that local minima is a point where function changes from decreasing to increasing

or a point where curve changes from moving downward to upward

we can see that there is two point where curve changes from decreasing to increasing

so, there will be only two local minima

and that is at (-2,-4) and (2,-4)