Absolute Value Functions and Equations

What is the domain of the continuous function shown?

What is the first step when solving an absolute value equation?

• Eliminate the y

• Switch x and y

• Eliminate any outside terms

• Set everything = to 0

What is absolute value?

• A terms distance from 0

• The absolute answer

• A terms distance from -1

• A terms distance from 1

What is the first step for solving the following:

2|x-3|=8

• Create 2 equations

• Subtract 2 from both sides

• Add 2 to both sides

• Divide both sides by 2

The transformation from the parent graph f(x)=|x| to g(x) = |x-2| can be described as:

• a horizontal translation

• a vertical translation

• a vertical shrink

• a vertical stretch

A vertical translation adds or subtracts terms

• inside the absolute value symbols

• outside the absolute value symbols

What is the vertex of the graph shown?

• (2, 0)

• (0, -2)

• (0, 2)

• (-2, 0)

What is the interval of increase?

Which answer choice represents a reflection

• f(x)= -2|x|

• f(x)= |x+2|

• f(x)= 2|x|

• f(x)= |x|-2

|v + 8| − 5 = 2 

• {-1,-15}

• {-1,-5}

• {-15,15}

• No Solution