Question

The domain of the function f(x) = 3x3 is {2, 5}. What is the function’s range?

The range of the function f(x) = 3x3 when its domain is {2, 5} is

Answer 1

`Range = [24, 375]`

Explanation:

Given

`f(x) = 3x^3`

`Domain = [2,5]`

Required

Find the Range

The range is calculated by solving for f(2) and f(5). In other words, the range is calculated when x is 2 and x is 5

When x = 2;

f(2) is as follows;

`f(2) = 3*2^3`

`f(2) = 3 * 8`

`f(2) = 24`

When x = 5;

f(5) is as follows;

`f(5) = 3*5^3`

`f(5) = 3 * 125`

`f(5) = 375`

Hence, the range of the function is [24, 375]