Calculus-Makeup-Exam-4-8-2020

A critical number, c, or a function f is a number in the domain of f such that:

• f'(c) = 0
• f'(c) is undefined
• f'(c) = o or f'(c) is undefined
• None of the above

For a function g(x), g'(-2)=0 indicates that x=-2 is ________________.

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

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

• increasing
• decreasing
• concave up
• concave down

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

• decreasing
• increasing
• concave up
• concave down

Tags

CCSS.HSF.IF.B.4

What is the absolute minimum?

• x = 2

• x = 1

• x = −1

• No Absolute Minimum

What is the relative maximum?

• (1, 4)

• (0, 2)

• (-1, 0)

• (2, 0)

Tags

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

The blue dot on this graph represents a(n)...

• Absolute Maximum

• Absolute Minimum

• Local Maximum

• Local Minimum

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

List all of the x-values of the points of  inflection of the graphed function.

• {-3, 1}
• {-4, -3, -1}
• {-4, -2, 0}
• Cannot be determined.

Find the Relative Maximum and Minimum. Round to nearest tenth.

• A

• B

• C

• D

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.D.10

Find the critical points of f(x) = 2x⁴- 4x² + 1

• x= 0
• x = -1, 1
• x = -1, 0, 1
• no critical points

Tags

CCSS.HSA.APR.B.3