INCREASING AND DECREASING FUNCTIONS

Identify where the function is decreasing.

• x < -4 , x > 1

• -4 < x < 1

• -6 < x < 7.5

• All Real Numbers

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSA.REI.D.10

Identify where the function is increasing.

• x < -5 , x > 8

• -1 < x < 8

• -5 < x < -1 , x > 8

• x < -5 , -1 < x < 8

Tags

CCSS.HSA.REI.D.10

CCSS.HSA.CED.A.3

Identify where the function is decreasing.

• x < 0

• x > 0

• x < -3 , x > 3

• -3 < x < 3

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSA.REI.D.10

When is this function increasing?

• −2.5 < x < 2.5
• 0 < x < 5
• 0 < x < 55
• −5 < x < 0

Tags

CCSS.HSF-IF.C.7A

Over what interval is this function constant?

• −5 < x < ∞
• −3 < x < 4
• 4 < x < ∞
• −5

Tags

CCSS.HSF-IF.C.7B

List the types of intervals that the graph demonstrates in order.

• decreasing, constant, increasing, constant
• increasing, decreasing, constant
• increasing, constant, increasing, constant
• increasing, constant, decreasing, constant

Tags

CCSS.HSF.IF.B.4

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

What are the intervals on which f(x) = 2x⁴- 4x² + 1 is strictly increasing?

• (-1,0)

• (0,1)

• (-∞,-1) and (1,∞)

• (-1,0) and (1, ∞)

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

Where is the function increasing?

• (-∞,5]
• (-∞,0]
• (-∞,2]
• [0,2]

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7