Which graph represents the function? h(x)={ x      if  x< −1 −x   if  x≥−1 15 points answer 15 points

Option B

Step-by-step explanation:

h(x) =  x             if  x <  -1

         -x             if  x ≥  -1

Here piece wise function is given.

Firstly we graph the line h(x)  = x .

Remember that, this line start from x = -1 to -infinite , because x is less than -1.

Here we can not include the point x=-1. This situation represent with the help of circle at x = -1.

Now we graph the line h(x)  = -x .

Remember that, this line start from x = -1 to infinite , because x is greater  than equal to -1.

Here we  include the point x=-1. This situation represent with the help of solid circle at x = -1..

So, option 2 is correct answer.

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