Answer: The correct option is 2.
Explanation:
From the given figure it is easily noticed that the function is increasing in nature for x<0 and the function is constant in nature for x>0 because the value of y remains unchanged for any value of x, where .
The value of function is 3 at x=0.
The value of the function is always 3 for all . So,
for .
The function is a straight line with intercepts (-3,0) and (0,3).
The equation of line is,
For x<0, the function is,
Therefore the piecewise function can be defined as,
Therefore option 2 is correct.