Answer:
f(-2)=12
Explanation:
We are given:
f(x)=x^2 - x^3
We are told to find f(-2). We need to find f(x) when x is equal to -2. Therefore, we can substitute -2 in for each x.
f(-2)= (-2)^2 - (-2)^3
Evaluate the exponent -2^2 .
-2^2= -2 * -2= 4
f(-2)= 4- (-2)^3
Evaluate the exponent -2^3
-2^3= -2* -2*-2= -8
f(-2)= 4- -8
f(-2)= 4+8
f(-2) =12
f(-2) is equal to 12, therefore D is correct.