Final answer:
The evaluated values of the function f(x) = x²(3 + x) are: f(2) = 20, f(0) = 0, and f(5) = 200.
Step-by-step explanation:
The student asked to evaluate the function f(x) = x²(3 + x) at three different values: f(2), f(0), and f(5). Let's find these one by one.
- f(2): Substitute x with 2 into the function, f(2) = 2²(3 + 2) = 4(5) = 20.
- f(0): Substitute x with 0 into the function, f(0) = 0²(3 + 0) = 0(3) = 0.
- f(5): Substitute x with 5 into the function, f(5) = 5²(3 + 5) = 25(8) = 200.
So the evaluated values are f(2) = 20, f(0) = 0, and f(5) = 200.