Calc Review 2

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

• (-1,0)
• (0,1)
• (-∞,-1) and (1,∞)
• (0,1) and (-1,0)

An absolute maximum must occur at a critical point or at an endpoint.

• True
• False

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

Tags

CCSS.HSF-IF.C.7D

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

If given f'(x) how would you find the intervals which the graph f(x) has a positive slope?

• f'(x) < 0 (negative)
• f'(x) > 0 (positive)
• f'(x) is increasing
• Can't be determined

If given f'(x) how would you find if f(x) is concave down?

• f'(x) = 0
• f'(x) (increasing) or f"(x) > 0
• f'(x) <(decreasing) or f"(x) < 0

• Can't be determined

• A
• B
• C
• D

Tags

CCSS.HSF-IF.C.8B