Question

Use the graphing tool to find the local minimum and the local maximum for the given function.

Answer 1

Answer: 1.D 2.D 3.B

Step-by-step explanation:

Local minimum and maximum corresponds to the minimum and maximum value at y-axis in the graph.

Applying this principle for the given intervals we can see that:

for Interval [-3,-1] min value is 0

for Interval [-1,0] max value is 4.39

for interval [0,3] min value is -32

Answer 2

Answer:

1) D 2) D 3) B

Step-by-step explanation:

Local minimum and local maximum points are the highest and the lowest points of a given interval always from x coordinate perspective to y coordinate. There is no expressly given function, so we'll estimate the values on the graph.

So, analyzing each one:

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

Then it is

A) -3

B) -2

C) -1

D) 0  Local minimum, actually (0,0)

2)

In this case, we have the other way around. The maximum point. Then

If

Over the interval [-1, 0], the local maximum is

A) -1

B) 0

C) 1.5

D) 4.39   (0,4.39) Local Maximum by estimative.

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

A) -40

B) -32     Local minimum (0,-32)

C) -18

D) 0