Solving Absolute Value Equations and Graphs

What is the range of the absolute value function?

• (-infinity, infinity)

• [3, infinity)

• [0, infinity)

• (-infinity, 3]

What is the domain of the absolute value function?

• (4, 0)

• (0, 4)

• (-infinity, infinity)

• [4, infinity)

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

Use the graphs to solve the absolute value equation.

• x = 1 and x = 0

• x = 1 and x = 2

• x = 0 and x = - 1

• x = -1 and x = 2

What is the equation of the graph below?

• f(x) = I x + 2 I 

• f(x) = I x + 2 I +2

• f(x) = I x - 2 I +2

• f(x) = I x - 2 I 

What is the solution for f(x)=g(x)?

• x = 3

• x = 0

• x = -1

• x = -4

What transformation would change the vertex of this graph to (3,1)

• right 3 and down 3

• right 3 and up 1

• up 4

• Shift right 4 units

Describe the transformation from the Absolute Value Parent Function.

• Stretches more narrow, shifts right

• Stretches wider, shifts right

• Stretches more narrow, shifts left

• Stretches wider, shifts left

Describe the transformations of the absolute value equation.

• Reflects over x-axis, compresses wider, shifts right 1 unit

• Reflects over x-axis, compresses wider, shifts up 1 unit

• Reflects over x-axis, stretches more narrow, shifts right 1 unit

• Reflects over x-axis, stretches more narrow, shifts up 1 unit

|v + 8| − 5 = 2 

• {-1,-15}

• {-1,-5}

• {-15,15}

• No Solution