Graphs of Functions and Their Derivatives

• 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

• A
• B
• C
• D

Where is the graph neither continuous nor differentiable?

• x = -1, 0, 1, 2
• x = -1, 1
• x = -1, 0, 1
• x = -1, 0, 2

Which graph is the derivative of the top graph?

• A
• B
• C
• D

f' is given, which could be f?

• A
• B
• C

Derivative means the same thing as

• slope of the tangent line
• slope of the normal line
• exponent
• potato

7

• A
• B
• C
• D

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

• It's positive
• It's negative
• It's zero
• Cannot be determined