Absolute Value Functions, Piecewise Functions

What is the vertex of the following function?

• (2,5)

• (-1,5)

• (-4,-2)

• (-2,5)

What is the vertex of the following equation: -1/3|x - 5| + 7

• (5, 7)

• (-5, 7)

• (7, -5)

• (7, 5)

Tags

CCSS.HSF-IF.C.7D

What is the domain restriction of the blue piece of this function?

• x > 0

• x ≥ 0

• x > 2

• x ≥ 2

Tags

CCSS.HSF-IF.C.7B

What is the equation and domain of the blue piece, labelled as "A"?

• f(x) = x + 1, x ≤ –1

• f(x) = x + 2, x ≤ –1

• f(x) = x, x ≤ –1

• f(x) = x – 1, x ≤ –1

Tags

CCSS.HSF-IF.C.7B

The equation of the red piece is y = 1. What is the domain of the red piece?

• x > –1

• x < –1

• x < –1 or x > 1

• –1 < x < 1

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

What is the equation and domain of the green piece, labelled as " C"?

• f(x) = 3x + 1, x ≥ 1

• f(x) = 3x, x ≥ 1

• f(x) = 3x – 1, x ≥ 1

• f(x) = 3x – 2, x ≥ 1

Tags

CCSS.HSF-IF.C.7B

What is the vertex of the following function?
y=2|x-3|+1

• (2,3)

• (-3,1)

• (2,-3)

• (3,1)

Tags

CCSS.HSF-IF.C.7D

Describe the shift from the parent function of y = I x - 4 I 

• Left 4

• Right 4

• Up 4

• Down 4

The blue graphs is the parent function f(x)=|x|, the red must be

• g(x)=|x+2|

• g(x)=|x|+2

• g(x)=|x-2|

• g(x)=|x|-2

Which graph matches: -x+4 if x<2 2x-6 if x>=2

• A

• B

• C

• D

Tags

CCSS.HSF-IF.C.7B