Calculus Quiz 4-3

 If (a,b) is a local minimum, then what will be true about f'(a)?

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

What is the absolute max of this function?

• 0
• infinity
• DNE
• 2.5

Tags

CCSS.HSA.REI.D.10

What type of extrema is x=2. Be as precise as possible.

• minimum

• global maximum

• relative maximum

• relative minimum

Tags

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Where are the critical points for f(x)=x²+3x

• beats me

• x= 1.5

• x= - 3/2

• uhhhhhh

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.B.4

TRUE OR FALSE?  If f is continuous on [-1,1], f(-1)=4 and f(1)= -2, then there is a zero between -1 and 1.

• TRUE
• FALSE
• CANNOT BE DETERMINED

If f '(3) = 0 and f"(3) < 0, then which of the following must be true?

• There is a local max at x=3
• There is a local min at x = 3
• There is an inflection point at x = 3
• There is an x-intercept at x = 3

For a function g(x), g''(3)=-8 indicates that g(x) is ____________ at x=3.

• increasing
• decreasing
• concave up
• concave down

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

• (-1,0)

• (0,1)

• (-∞,-1) and (0,1)

• (1,∞) and (-1,0)

What is the maximum value of f(x) = x³ - 3x² - 1 on the interval [-3, 2]?

• 0
• -1
• 2
• 5

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

List all of the x-values of the points of inflection of the function whose second derivative is graphed.

• {-3, 1}
• {-3, -1, 1}
• {-4, 2}
• Cannot be determined