Answer:
option B
Step-by-step explanation:
To get the graph of piecewise function
We make a table for each function
Plug in end points and make a table
First function f(x) = (x+2)^2 if x<-1
x <-1 so we pick number for x less than -1. Also we use -1 but we use open circle at x=-1
x y = (x+2)^2
-3 (-3+2)^2= 1
-2 (-2+2)^2 = 0
-1 (-1+2)^2 = 1
Now plot the table on graph
second function f(x) = |x| + 1 if -1<=x<=1
Make a table, we use -1, 0 and 1 because we have -1<=x<=1 (-1 and 1 are included)
x y=|x| +1
-1 |1| + 1 = 2
0 |0|+1 = 1
1 |1|+1= 2
Third function if x>1
We find out y when x=1 and make a open circle at x=1 because we have x>1
x
1
4
Plot all the point on the graph
Correct graph is attached below
