AP Calculus Graphing with Derivatives Review

Question 1

Based on the graph, what would f ' (2) = ?

Accepted Answer

zero

Question 2

State any x-value that satisfies the condition f'(x) =0

Accepted Answer

1, -1

Question 3

Based on the graph what would f '' (3) = ?

Accepted Answer

positive

Question 4

State the interval in which the second derivative is positive.

Accepted Answer

(-3, 1)

Question 5

When is the second derivative of this function equal to 0?

Accepted Answer

When x = 0

Question 6

Based on this graph, the second derivative of 1 would be

Accepted Answer

negative

Question 7

State the point of inflection

Accepted Answer

x = -1

Question 8

Based on the graph, the second derivative of this function is always

Accepted Answer

positive

Question 9

How many points of inflection does the graph show?

Accepted Answer

2

Question 10

How many critical points does the graph show?

Accepted Answer

3

Questions 10