APPC COL#1 retake

What is/are the increasing interval(s) for the function shown?

What is/are the decreasing interval(s) for the function shown?

Calculate the average rate of change from 20 to 40 minutes.

• -2 minutes per gallon

• -20 minutes per gallon

• -2 gallons per minute

• -20 gallons per minute

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

Find the average rate of change over the given interval. 

• 4
• 7
• 7/3
• 3/7

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

Find the intervals of concavity for

f(x) = x² + 2x + 1.

• concave up: (-∞,∞)

• concave down: (-∞,∞)

• concave up: (2, ∞)

  concave down: (-∞,2)

• concave up: (-∞,2)

  concave down: (2, ∞)

Find the relative minimum values for f(x)=3x⁴-2x³-9x²

• -1

• 0

• 1.5

• -1 and 1.5

Over what interval(s) is f(x) concave up? (Be careful this is a graph of f'!)

• (-∞, -3) ∪ (1, ∞)

• (-3, 1)

• (-∞,-3) U (1, ∞)

• (-5, 0)U(2, ∞)

Identify the relative extrema of the following function:
g(x)=2x³-3x²

• x=-1,1
• x=0,0
• x=0,-1
• x=0,1

Over what intervals is f(x) decreasing?

• (-∞, -1) ∪ (1, ∞)
• (-∞, -√3) ∪ (0, √3)
• (-1, 1)
• (-√3, 0) ∪ (√3, ∞)

Which polynomial is written in standard form?

• -3x + 8x² + 9x³ - 11
• 9x³ + 8x² - 3x - 11
• 8x² + 9x³ -11 - 3x
• -11 - 3x + 8x² + 9x³