Advanced MathMediumExtrapolating an exponential table back to zero
Advanced Math practice question
The table gives values of an exponential function g. x | g(x) 1 | 6 2 | 18 3 | 54 What is the value of g(0)?
Answer: 2
Each step multiplies by 3, so g(x) = 2 · 3ˣ. Going back one step from g(1) = 6 divides by 3: g(0) = 2.
Common wrong answers
- If you answered 0
- 0 assumes the function passes through the origin; exponential functions never reach 0.
- If you answered 3
- 3 is the growth factor, not g(0).
- If you answered -6
- −6 subtracts 12 (the difference 18 − 6) as if the function were linear.
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