Question

the domain of the function f(x) = 3x^3 is {2, 5}. what is the function’s range? the range of the function f(x) = 3x3 when its domain is {2, 5}

Answer 1

Range of f(x) = 3x^3 when the domain is (2, 5) is {3(2)^3, 3(5)^3} = {3(8), 3(125)} = {24, 375}

Answer 2

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