Lesson 6: Optimization

Question 1

For the following function, determine the interval on which f(x) is increasing or decreasing

Answer 1

Question 2

For the following function, determine the interval on which f(x) is increasing or decreasing

Answer 2

Question 3

For the following function, determine the interval on which f(x) is increasing or decreasing

Answer 3

Question 4

For the following function, determine the interval on which f(x) is increasing or decreasing

Answer 4

Question 5

For the following function, find the critical point and identify each as a local maximum, minimum, or neither

Answer 5

Question 6

For the following function, find the critical point and identify each as a local maximum, minimum, or neither

Answer 6

Question 7

For the following function, find the critical point and identify each as a local maximum, minimum, or neither

Answer 7

Question 8

For the following function, find the critical point and identify each as a local maximum, minimum, or neither

Answer 8

Question 9

In the following problem, the graph of f’(x) is shown. Determine where f(x) is increasing and decreasing; identify the critical points of f(x) and classify each as a local maximum, local minimum, or neither.

Answer 9

Question 10

In the following problem, the graph of f’(x) is shown. Determine where f(x) is increasing and decreasing; identify the critical points of f(x) and classify each as a local maximum, local minimum, or neither.

Answer 10

Question 11

In the following problem, the graph of f’(x) is shown. Determine where f(x) is increasing and decreasing; identify the critical points of f(x) and classify each as a local maximum, local minimum, or neither.

Answer 11

Question 12

In the following problem, find the absolute minimum and maximum values of the given function f(x) on the indicated interval.

Answer 12

Question 13

In the following problem, find the absolute minimum and maximum values of the given function f(x) on the indicated interval.

Answer 13

Question 14

In the following problem, find the absolute minimum and maximum values of the given function f(x) on the indicated interval.

Answer 14

Question 15

In the following problem, find the absolute minimum and maximum values of the given function f(x) on the indicated interval.

Answer 15