Absolute Value and Piecewise Functions

The graph represents a piecewise function. How many pieces make up the function?

• 1

• 2

• 3

• 4

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

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.HSA.CED.A.1

CCSS.HSA.REI.B.3

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.5

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.HSA.REI.D.10

CCSS.HSF.IF.A.1

CCSS.HSF.IF.B.4

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.HSA.REI.D.10

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

CCSS.HSF.IF.B.4

CCSS.HSF.IF.B.5

CCSS.HSF.IF.C.7

What is the equation of the absolute value function?

• f(x)= |x+4|
• f(x)= |x-4|
• f(x)= |x| + 4
• f(x)= |x| - 4

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Which graph matches the function:
y = -2|x - 3| + 5

• A
• B
• C
• D

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Which function is graphed?

• f(x) = 2|x + 2| -4
• f(x) = 2|x - 4| + 2
• f(x) = |x + 2| - 4
• f(x) = -2|x - 4|

Tags

CCSS.HSF-IF.C.7D

Which function is graphed?

• f(x) = -|2x - 3| + 5
• f(x) = -|x + 5| - 3
• f(x) = -|2x + 6| + 5
• f(x) = -2|x + 5| - 3

Tags

CCSS.HSF-IF.C.7D

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.B.4

CCSS.HSF.IF.C.7

What is the vertex of the following function?

y= -4|x+2|+5

• (2,5)

• (-1,5)

• (-4,-2)

• (-2,5)

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7