# How do you graph #f(x)=3|x+5|#?

##### 1 Answer

See the explanation below

#### Explanation:

Recall the definition of the *absolute value* of a real number.

*Absolute value* of a non-negative number is this number itself, which can be expressed as

IF

*Absolute value* of a negative number is the negation of this number, which can be expressed as

IF

Applying this to our function

Its graph looks like

graph{3(x+5) [-10, 10, -5, 5]}

For all other

Is graph looks like

graph{-3(x+5) [-10, 10, -5, 5]}

To construct a graph of

graph{3|x+5| [-10, 10, -5, 5]}