Answer:
D. f(2)= -24
Explanation:
To solve this problem, we want to find what f(x), or y is, when x is equal to 2.
f(x)=3x³-12x²
Therefore, we can substitute 2 in for every x.
x=2
f(2)=3(2³)-12(2²)
Evaluate the exponents first.
2³ is equal to 2*2*2, which equals 8.
2² is equal to 2*2, which equals 4.
f(2)=3(8)-12(4)
Multiply 3 and 8.
f(2)=24-12(4)
Multipy 12 and 4
f(2)=24-48
Subtract 48 from 24.
f(2)=-24
Therefore, the correct answer is D. f(2)= -24