Advanced Math practice question

Answer: 8

f(x + 3)/f(x) = 2ˣ⁺³/2ˣ = 2³ = 8. Moving the input up by 3 always multiplies a base-2 exponential by 2³.

Common wrong answers

If you answered 2

2 is the ratio for a shift of 1 (f(x + 1)/f(x)); a shift of 3 gives 2³.

If you answered 3

3 is the change in the exponent, not the ratio of the outputs; 2³ = 8.

If you answered 6

6 is 2 × 3, multiplying instead of raising to the power.

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