Ch 5 Calculus Graphing with Derivatives Review

Question 1

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

Accepted Answer

negative

Question 2

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

Accepted Answer

zero

Question 3

How many points of inflection does the graph show?

Accepted Answer

2

Question 4

For the interval (-3, 3), state the interval in which the second derivative is positive.

Accepted Answer

(-3, 0)

Question 5

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

Accepted Answer

When x = 0

Question 6

What is the test for critical numbers?

Accepted Answer

In domain and f'(x) =0 or f'(x) dne

Question 7

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

Accepted Answer

positive

Question 8

Which x-value(s) satisfies the condition f'(x) =0 ?

Accepted Answer

-1 and 1

Question 9

An absolute value on a closed, continuous interval can occur at:

Accepted Answer

Only a critical number or endpoint

Question 10

State the point of inflection

Accepted Answer

x = -1

Question 11

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

Accepted Answer

positive

Question 12

How many critical points does the graph show?

Accepted Answer

3

Questions 12