Absolute Value Functions, Piecewise Functions, Toolkit Functions

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

• 1

• 2

• 3

• 4

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

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

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

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

What is the vertex of the following function?

• (2,5)

• (-1,5)

• (-4,-2)

• (-2,5)

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

What are the domain restrictions for the green piece of this function?

• -2 < x ≤ 1

• -1 < x ≤ 0.5

• x > -2

• x ≤ 1