CalcChap3T

List all of the critical values (x-locations of the critical points-where graph changes increasing or decreasing) of the graphed function.

• {-2. 0}

• {-2, 1}

• {-4, -2, 0}

• Cannot be determined

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

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

The concavity of a function is described by its _______________.

• first derivative
• second derivative
• third derivative
• expression

What is a point of inflection?

• When a function goes from increasing to decreasing.

• When the concavity changes.

• When the derivative changes.

• When the function crosses the x-axis.

Where is the point of infection for the function y = x³ + 6x²?

• 0

• -4

• -2

• 4

Tags

CCSS.HSF-IF.C.7C

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

• (-1,0)

• (0,1)

• (-∞,-1) and (1,∞)

• (-1,0) and (1,∞)

On what interval(s) is the function y=x³ + 6x²

concave down?

• (-∞,-4)

• (-∞,-2)

• (-2,∞)

• (0,∞)

What is the end behavior of f(x) = x⁵ - 3x² - 7

• left side up, right side up

• left side down, right side down

• left side up, right side down

• left side down, right side up

Find the y-intercepts for f(x) = -x⁴ - 5x³ + 7x² + x - 4

• (0,1)

• (0,-5)

• (0,-4)

• (0,3)

Tags

CCSS.HSF-IF.C.7C