Question

Analyze the graphed function to find the local minimum and the local maximum for the given function.

Which statements about the local maximums and minimums for the given function are true? Check all that apply.

Over the interval [–1, 1,] the local minimum is –8.

Over the interval [1, 3], the local minimum is 0

Over the interval [2, 4], the local minimum is –8.

Over the interval [3, 5], the local minimum is –8.

Over the interval [1, 4], the local maximum is 0. 

Over the interval [3, 5], the local maximum is 0

Answer 1

Step-by-step explanation: B) C) D)

Answer 2

We are shown coordinates on the graph:

(0,0)

(0.6, -8)

(2,0)

( 3.4, -8)

(4,0)

From that shown graph, we can clearly see that over the interval interval [-1, 1] lowest value of y is -8.

Therefore, Over the interval [-1, 1], the local minimum is –8. statement is applicable.

From that shown graph, we can clearly see that over the interval interval [2, 4] lowest value of y is -8.

Therefore, Over the interval [2, 4], the local minimum is –8. statement is applicable.

From that shown graph, we can clearly see that over the interval interval [3, 5] lowest value of y is -8.

Therefore, Over the interval [3, 5], the local minimum is –8. statement is applicable.

From that shown graph, we can clearly see that over the interval interval [1, 4] highest value of y is 0.

Therefore, Over the interval [1, 4], the local maximum is 0. statement is applicable.