Graph the piecewise-defined function.

option: 3 is true.

3) g(x) has a greater maximum value than f(x).

Step-by-step explanation:

We are given quadratic function f(x) as:

and quadratic function g(x) as:

xg(x)

0   −5

1   3

2   11

3    3

4   −5

From the graph of the function f(x) we see that the maximum value attained by the function is 9 when x=0.

Also it could be seen that x^2 is always positive when x≠0.

Hence, the maximum value of f(x) is 9.

Also from the set of values of function g(x) the maximum value attained by g(x) is 11.

Hence function g(x) has a greater maximum value than f(x).