Question

Evaluate f(5) if ( f(x) = (x - 2)^3 ).

a) -117
b) 117
c) 27
d) -27

Answer 1

f(5) is found by substituting x with 5 in the function f(x) = (x - 2)^3, resulting in the calculation (5 - 2)^3 which equals 27. Therefore, the correct answer is c) 27.

Step-by-step explanation:

To evaluate f(5) for the function f(x) = (x - 2)^3, we need to substitute x with 5:

1. Replace x in the equation with 5: (5 - 2)^3.
2. Calculate the expression inside the parentheses: 3^3.
3. Cube the result of step 2: 27.

After completing these steps, we find that f(5) = 27, which makes option c) the correct answer.