Answer:
The graph in the attached figure
Step-by-step explanation:
we have
1) -----> For the interval (-∞,-1)
Note The value of x=-1 is a open circle ( is not included)
This is a vertical parabola open upward
The vertex is a minimum
The vertex is the point (-2,0)
2) ----> For the interval [-1,1]
Note The value of x=-1 and x=1 are closed circle ( both values are included)
This is an absolute function open upward
The vertex is the point (0,1)
3) -----> For the interval (1,∞)
Note The value of x=1 is a open circle ( is not included)
The value of f(x) is negative for all values of x
therefore
The graph in the attached figure
