Increasing and Decreasing Functions

Identify where the function is increasing.

• $x\ <-4\ \ \ \ \ ,\ \ \ \ x\ >1$

• $-\ 4<x<1$

• $-6<x<-2$

• $x<-6\ \ \ \ ,\ \ \ x\ >-2$

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSA.REI.D.10

Identify where the function is decreasing.

• x < -5 , x > -1

• -5 < x < 1 , x > 8

• x < -5 , -1 < x < 8

• 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 < 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

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

Check all the intervals where this graph is decreasing.

• (-∞, -1)

• (-1, 0)

• (0, 1)

• (1, ∞)

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSA.REI.D.10

Check all the intervals where this graph is increasing.

• (-∞, -1)

• (-1, 0)

• (0, 1)

• (1, ∞)

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Find the interval(s) of increase of the graph shown.

• (-6, -4)

• (-4, -2)

• (-2, 2)

• (2, 5)

• (5, 6)

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Find the interval(s) of decrease of the graph shown.

• (-6, -4)

• (-4, -2)

• (-2, 2)

• (2, 5)

• (5, 6)

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Find the interval(s) where the graph remains constant.

• (-6, -4)

• (-4, -2)

• (-2, 2)

• (2, 5)

• (5, 6)

Tags

CCSS.HSF.IF.B.4

Over what interval is this function constant?

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

Tags

CCSS.HSF-IF.C.7B