Question

What are the relative minimum and relative maximum values over the interval [1, 5] for the function shown in the graph?

Responses

a. relative minimum = −3, relative maximum = −14

b. relative minimum = 1.5, relative maximum = 4.5

c. relative minimum = 1.5, relative maximum = −3

d. relative minimum = −14, relative maximum = −3

Answer 1

d

Explanation:

As you can tell by the graphs the relative minimum is -14 since that is where the curve ends and -3 is the maximum due to the top curve being at -3

Answer 2

d) relative minimum = −14, relative maximum = −3

Explanation:

The relative minimum and maximum values are the minimum and maximum y-values of the points in the domain of the function.

From inspection of the given graph, the minimum y-value in the interval [1, 5] is -14 and the maximum y-value in the interval [1, 5] is -3.

Therefore:

• Relative minimum = -14
• Relative maximum = -3