Advanced MathVery hardExponential from two non-adjacent values
Advanced Math practice question
An exponential function h is defined by h(x) = a·bˣ, where a and b are positive constants. If h(1) = 6 and h(3) = 54, what is the value of h(0)?
Answer: 2
h(3)/h(1) = b² = 9, so b = 3. Then a·3 = 6 gives a = 2, and h(0) = a = 2.
Common wrong answers
- If you answered 0
- An exponential function is never 0.
- If you answered 3
- 3 is b, not a.
- If you answered 6
- 6 is h(1), not h(0).
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