Question

If the function f(x) = x³ has the if the function f(x)= x³ has a domain {-3, 0, 2, 4}, what is its range?

a. {-9, 0, 6, 12}
b. {-9, -3, 0, 0, 2, 4, 8, 64}
c. {0, 8, 9, 64}
d. {-27, 0, 8, 64}

Answer 1

The range of the function f(x) = x³ with the given domain {-3, 0, 2, 4} is {-27, 0, 8, 64}.

Step-by-step explanation:

The given function is f(x) = x³.

To find the range of this function, we need to substitute each value in the given domain into the function and determine the corresponding outputs.

Substituting -3, 0, 2, and 4 into the function, we get: f(-3) = (-3)³ = -27, f(0) = (0)³ = 0, f(2) = (2)³ = 8, and f(4) = (4)³ = 64.

Therefore, the range of the function f(x) = x³ with the given domain {-3, 0, 2, 4} is d. {-27, 0, 8, 64}.