Advanced Math practice question

Answer: A. Each time x increases by 1, f(x) is halved.

The base is 1/2, so every unit increase in x multiplies f(x) by 1/2: f(0) = 4, f(1) = 2, f(2) = 1, f(3) = 1/2.

Why the other answers are wrong

B. Each time x increases by 1, f(x) decreases by 2.

The decrease is not constant: 4 → 2 → 1 → 1/2 drops by 2, then 1, then 1/2.

C. f(x) is negative for x > 2.

A positive constant times a positive power is never negative.

D. Each time x increases by 1, f(x) is multiplied by 4.

4 is the starting value, not the growth factor.

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