Answer:
Option C is correct answer.
Step-by-step explanation:
We need to draw the graph of piece wise function
So, for drawing the graph, we will find values of f(x) for both the given equations.
First finding f(x) for
The value of x must be less than or equal 1
x f(x)
1 -3
0 -2
-1 -1
-2 0
-3 1
-4 2
The graph will start from closed circle because x ≤ 1
Now, finding values of f(x) for
The value of x must be greater than 1
x f(x)
2 1
3 3
4 5
5 7
The graph will start from open circle because x> 1
Now, plotting these numbers we will get graph of Option C.
Option C is correct answer.