Calc AB Midterm Review

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

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

For a function f(x), f'(-3) = 5 indicates f(x) is ___________ at x=-3.

• increasing
• decreasing
• concave up
• concave down

f(x) is pictured. Inflection points are most likely at which x values?

• x=0 and 1.5
• x=2 and 2.5
• x=2.25
• x=1

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Find h'(3)

• -2
• 0
• 1
• 3

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

Which of the following best describes the continuity at x = 0?

• Continuous
• Removable Point Discontinuity
• Non-removable Infinite Discontinuity
• Non-removable Jump Discontinuity

Tags

CCSS.HSF-IF.C.7B

find

• 0
• cos x
• -1
• 1

• B
• C
• D
• E

The linearization of function y=f(x) near the value x=a is given by:

• L(x) = f(a) + f'(a) (x - a)
• L(a) = f(x) + f'(x) (x - a)
• L(x) = f'(a) + f(a) (x - a)
• L(a) = f'(x) + f(x) (x - a)

What is the linearization of the function y=(2x-1)² for values of x near 3?

• L(x) = 20x - 35
• L(x) = (2x - 1)² (x - 3)
• L(x) = -4x + 1
• L(x) = 4 (2x - 1)

2

• A
• B
• C
• D