Question

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

Please answer quickly!! 15 points

Answer 1

Option B

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.