Advanced MathHardShifting an exponential's input
Advanced Math practice question
For the function g(x) = 2ˣ, g(a) = 32 for some number a. What is the value of g(a + 2)?
Answer: 128
g(a + 2) = 2ᵃ⁺² = 2ᵃ · 4 = 32 · 4 = 128.
Common wrong answers
- If you answered 34
- Adding 2 to the input multiplies the output by 2² = 4, rather than adding 2.
- If you answered 36
- The function is exponential; each +1 in x doubles the output.
- If you answered 64
- Two steps double twice: 32 · 4 = 128, not 32 · 2.
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