Unit 6 Review

Can the MVT be applied to the function on the interval?

f(x) = (-x² + 9)/(4x) on [1,3]

• Yes

• No

Find all values of c that satisfy the MVT for the function on the given interval

f(x) = -x² + 8x - 17 on [2,6]

• c = 2

• c = 3

• c = 4

• c = 6

Tags

CCSS.HSA.REI.D.11

If f '(x) changes from negative to positive, then f(x) has __________ at x.

• a maximum

• a minimum

• no extrema

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Where is the graph not differentiable?

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

Tags

CCSS.HSF-IF.C.7B

f' is given, which could be f?

• A
• B
• C

Given a graph of f'', which could be a Point of Inflection?

• A
• B
• C
• D

Where does f(x) have a point of inflection?

• x = -3
• x = 3,-3
• x= -1
• x = -1,3

What are the intervals of the graph increasing for f(x) = 2x⁴- 4x² + 1

• (-1,0)

• (0,1)

• (-∞,-1) and (1,∞)

• (-1,0) and (1,∞)

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSA.APR.B.3

If f(x) is continuous and f'(x) is zero or undefined at x=a, then a is ALWAYS called a

• critical point
• absolute max
• absolute min
• inflection point

If f"(x) is positive then f'(x) is

• increasing
• decreasing
• concave up
• concave down