Absolute Value Functions

Absolute Value Functions

Multiple Select

Which two functions can be used to write the function as a piecewise-defined function?

• $x-1,\ x>-2$

• $x+1,\ x>-2$

• $-x-3,\ x\ \le-2$

• $-x-1,\ x\le-2$

Multiple Choice

Which of the following absolute value functions represents the graph?

• $f\left(x\right)=\left|x+2\right|-1$

• $f\left(x\right)=\left|x+1\right|-2$

• $f\left(x\right)=\left|x-2\right|-1$

• $f\left(x\right)=\left|x-1\right|-2$

Multiple Choice

What is the range of the graph?

• $y\ge1$

• $y\ge0$

• $y\ge-1$

• $y\ge-2$

What can we say about Abs. Value Functions?

Select whether the statement is always, sometimes, or

never true

Multiple Choice

An absolute value

function is also a

piecewise function.

• Always

• Sometimes

• Never

Multiple Choice

A piecewise function is

also an absolute value

function.

• Always

• Sometimes

• Never

Multiple Choice

The graph of an absolute

value function has no

𝑥 −intercepts.

• Always

• Sometimes

• Never

Multiple Choice

The graph of an absolute

value function has two

𝑦 −intercepts.

• Always

• Sometimes

• Never

Multiple Choice

The graph of an absolute

value function is

decreasing.

• Always

• Sometimes

• Never

Multiple Choice

The domain of an

absolute value function is

the set of all real

numbers.

• Always

• Sometimes

• Never

Multiple Choice

The range of an absolute

value function is the set

of all real numbers

greater than or equal to

zero.

• Always

• Sometimes

• Never