AP CALC PLEASE HELP ASAP

is a line that stretches from as , to as , hence with range .

But in the context of , the function is equal to only for those that are less than 1, so that this piece of only stretches as far as , which means this piece has a range of .

Then for all beyond , the function stays fixed at . So the range is (with 3 included in the range).

step-by-step explanation:

first, eliminate the parenthesis:

3

x

+

2

−

4

x

second, group like terms:

3

x

−

4

x

+

2

third, combine like terms:

(

3

−

4

)

x

+

2

→

−

1

x

+

2

→

−

x

+

2