Question

s(x) = (x - 2)^3Determine the domain and range of the original function. Express your answer in interval notation.

Answer 1

Given the function:

$f(x)=(x-2)^3$

To determine the domain and range, we have:

Domain is the set of all inputs in a function. The domain here will be all real numbers. Therefore the domain in interval notation is:

Domain = (-∞, ∞)

Range is the set of all output values in a function, it is also the dependent variable. Therefore, the range is the in interval notation is:

Range = (-∞, ∞)

ANSWER:

Domain = (-∞, ∞)

Range = (-∞, ∞)