Question

If the function f(x) = ˣ³has the domain {-3, 0, 2, 4}, what is its range?

1. {-9,0,6,12}
2. {-9,-3,0,0,2,4,8,64}
3. {0,8,9,64}
4. {-27,0,8,64}

Answer 1

The range of the function f(x) = x³ with the domain {-3, 0, 2, 4} is calculated by substituting each domain value into the equation to find its corresponding output. The range is determined to be {-27, 0, 8, 64}, corresponding to option 4.

Step-by-step explanation:

To determine the range of a function, we substitute each value of the domain into the function and find the corresponding outputs. The function in the question is f(x) = x³. If we apply the domain {-3, 0, 2, 4} to this function, we can calculate the range step by step:

• For x = -3: f(-3) = (-3)³ = -27
• For x = 0: f(0) = 0³ = 0
• For x = 2: f(2) = 2³ = 8
• For x = 4: f(4) = 4³ = 64

Therefore, the range of the function f(x) with the given domain is {-27, 0, 8, 64}. The correct answer is option 4.