Advanced MathVery hardBase of an exponential through two points
Advanced Math practice question
The function f is defined by f(x) = a·bˣ, where a and b are positive constants. If f(0) = 3 and f(2) = 12, what is the value of b?
Answer: 2
f(0) = a = 3, and f(2) = 3b² = 12 gives b² = 4, so b = 2.
Common wrong answers
- If you answered 3
- 3 is a.
- If you answered 4
- 4 is b², not b.
- If you answered 6
- 6 divides 12 by 2 instead of 3.
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