Absolute Value Inequality Functions

Determine the Range of the function

• y > 2

• y < 2

• y > 0

• y < 0

Determine the Range of the function

• y > 1

• y < 1

• y > 2

• y < -2

Determine the range of the function

• y > 5

• y < 5

• y > 2

• y < 2

Determine the Domain

• x > 5

• x > -5

• All Reals

• x > 1

What shifts have occurred?

• left 1, up 5

• left 1, down 5

• right 1, down 5

• right 1, up 5

What is the vertex of the following function?
y= -4|x+2|+5

• (-4,2)

• (-2,5)

• (-4,-2)

• (2,5)

Tags

CCSS.HSF-IF.C.7D

Solve: |x+5| < 9

• -14 < x < 4

• x > -14 or x < 4

• -4 < x < 4

• x > -4 or x < 14

Solve 4|x - 1| < 24

• -7 < x < 7

• -5 < x < 7

• x < -5 or x > 7

• -5 < x < 5

Solve: 10 < |2x + 4|

• -7 < x < 3

• -3 < x < 3

• x < -3 or x > 3

• x < -7 or x > 3

Solve |x - 4|- 3 < 5

• -12 < x < 12

• No solution

• -4 < x < 12

• x > -4 or x < 12