f, f', f''

Question 1

Given the graph of f'\left(x\right), on what interval(s) is f\left(x\right)concave up?

Accepted Answer

(-∞, -4.287) and (-1.949, 0) and (1.436, ∞)

Question 2

Given the graph of f'\left(x\right), where does f\left(x\right)have an inflection point?

Accepted Answer

x = 2

Question 3

Given the graph of f'\left(x\right), where does f\left(x\right)have critical points?

Accepted Answer

x= -2, 0, or 4

Question 4

Use the graph of f'\left(x\right) to find where f\left(x\right) has critical values.

Accepted Answer

x= 0 or x = 4

Question 5

Given the graph of f'\left(x\right), where does f\left(x\right)have inflection points?

Accepted Answer

x ≈ {-1.1, 2.4}

Question 6

Given the graph of f'\left(x\right), where does f\left(x\right)have an inflection point?

Accepted Answer

x = -4.287, -1.949, 0, 1.436

Question 7

Given the graph of f'\left(x\right), on what interval(s) is f\left(x\right)decreasing?

Accepted Answer

(-∞, -2] U [0, 4]

Question 8

Given the graph of f'\left(x\right), on what intervals is f\left(x\right) increasing?

Accepted Answer

(-∞, 0] U [4, ∞)

Question 9

Given the graph of f\left(x\right), on what interval(s) is f'\left(x\right)positive?

Accepted Answer

(-∞, -1.1) U (2.4, ∞)

Question 10

Given the graph of f'\left(x\right), on what interval(s) is f\left(x\right)concave up?

Accepted Answer

(2, ∞)

Question 11

Given the graph of f'\left(x\right), where does f(x) reach a local minimum?

Accepted Answer

x = -2 or x = 4

Question 12

Given the graph of f'\left(x\right), where does f\left(x\right) attain a relative minimum?

Accepted Answer

x = 4

Question 13

Given the graph of f'\left(x\right), where does f\left(x\right)attain a relative maximum?

Accepted Answer

x = 0

Questions 13