Advanced MathMediumReading a doubling function from a table
Advanced Math practice question
x: 0, 1, 2, 3
g(x): 5, 10, 20, 40
The table gives values of a function g. Which equation could define g?
- A. g(x) = 5(2)ˣCorrect
- B. g(x) = 5 + 5x
- C. g(x) = 2(5)ˣ
- D. g(x) = 10x
Answer: A. g(x) = 5(2)ˣ
Each step doubles (5, 10, 20, 40): exponential with base 2 and g(0) = 5.
Why the other answers are wrong
- B. g(x) = 5 + 5x
- 5 + 5x is linear: 5, 10, 15, 20.
- C. g(x) = 2(5)ˣ
- 2(5)ˣ starts at 2 and multiplies by 5.
- D. g(x) = 10x
- 10x gives 0 at x = 0.
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