Answer:
[24, 375] is the function’s range
Step-by-step explanation:
Range of the function is the complete set of all possible values of the dependent variable(y) after we have substituted the domain(x).
As per the statement:
The domain of the function \(f(x) = 3x^3\) is, [2, 5]
We have to find the range of the function.
At x = 2
\(f(2) = 3(2)^3\)
⇒\(f(2) =3 \cdot 8 = 24\)
At x = 5
\(f(5) = 3(5)^3\)
⇒\(f(5) =3 \cdot 125 =375\)
Range of the given function we get, [24, 375]
Therefore, [24, 375] is the function’s range
