To find the maximum possible value of 2^2−3^x, we need to determine the value of x that minimizes 3^x.
Since x is not a negative number, 3^x is a positive number for all real values of x.
To minimize 3^x, we want x to be as small as possible. Therefore, the maximum possible value of 2^2−3^x occurs when x=0:
2^2−3^0=4−1=3
So, the maximum possible value of 2^2−3^x is 3.
