Advanced MathVery hardConstant in an exponential model from two values
Advanced Math practice question
A function of the form f(x) = a · bˣ has f(0) = 6 and f(2) = 54. If b > 0, what is the value of b?
Answer: 3
f(0) = a = 6. Then f(2) = 6b² = 54, so b² = 9 and b = 3.
Common wrong answers
- If you answered 6
- 6 is a.
- If you answered 9
- 9 is b², not b.
- If you answered 27
- 27 is 54/2, treating the exponent as a multiplier.
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