Unit 5 Quiz - 1st 8 Sections

Given a function g(x), if g'(x)=0 at a certain value of x, then g(x) has _____________ at x.

• an inflection point
• a critical point
• a minimum
• a maximum

Find the critical number of f(x) = 4x² – 8x + 1

• x = 2

• x = 0

• x = 8

• x = 1

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.4

CCSS.HSA.REI.D.10

If given a graph of f'(x) how do you determine the values of x at which f (x) has a relative maximum?

• f'(x) has a change in values from positive to negative
• f'(x) has a change in values of y from negative to positive
• Value of f'(x) = 0
• Value of f'(x) DNE

What is the relative minimum value?

• 4
• -1
• 1
• 0

Tags

CCSS.HSA.REI.D.10

Identify the relative maximum:

• (0, 3)
• (4, 1)
• (3, 0)
• (1, 4)

Tags

CCSS.HSA.REI.D.10

Identify the interval(s) of increase.

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

At what point is the minimum of this graph?

• (-1, 3)
• (3, -1)
• (0,3)
• (5,0)

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.REI.D.10

What type of extrema is (2, 1). Be as precise as possible.

• Absolute minimum

• Absolute maximum

• relative maximum

• relative minimum

What type of extrema is (-2, -4)? Be as precise as possible.

• Absolute Maximum

• Absolute Minimum

• Relative Maximum

• Relative Minimum

Given a function, f(x), if f'(x)>0 over a certain interval, then f(x) is __________ over that interval.

• increasing
• decreasing
• concave up
• concave down