Graphs of functions and their derivatives

Which one of the following statements is always true?

• When a graph is increasing, its derivative is negative.

• When a graph is decreasing, so is its derivative.

• When a graph is decreasing, its derivative is negative.

• When a graph is increasing, so is its derivative.

Tags

CCSS.HSF.IF.B.4

Select the correct derivative of f(x).

• A.

• B.

• C.

• D.

Tags

CCSS.HSF.IF.C.7

• A

• B

• C

• D

Tags

CCSS.HSF-IF.C.7B

7.

• (A)

• (B)

• (C)

• (D)

If a function has a derivative that is negative, what does that tell you?

• The function is increasing
• The function is decreasing

Which graph is the derivative of the top graph?

• A
• B
• C
• D

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

f' is given, which could be f?

• A
• B
• C

Tags

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

CCSS.HSA.SSE.A.1

The derivative of a function is its

• Slope
• Maximum/Minimum
• Instantaneous rate of change
• Common Denominator

Tags

CCSS.HSF.IF.B.4

If given f'(x) how would you find the intervals which the graph f(x) has a positive slope?

• f'(x) < 0 (negative)
• f'(x) > 0 (positive)
• f'(x) is increasing
• Can't be determined