Advanced MathEasyExponential function from a table
Advanced Math practice question
x | f(x)
0 | 1
1 | 3
2 | 9
3 | 27
Which equation defines the function f shown in the table?
- A. f(x) = 3ˣCorrect
- B. f(x) = 3x
- C. f(x) = x³
- D. f(x) = 2x + 1
Answer: A. f(x) = 3ˣ
Each step multiplies the output by 3: 1, 3, 9, 27. That is 3⁰, 3¹, 3², 3³, so f(x) = 3ˣ.
Why the other answers are wrong
- B. f(x) = 3x
- 3x gives 0 at x = 0, but the table shows 1.
- C. f(x) = x³
- x³ gives 0, 1, 8, 27 — it matches only at x = 3.
- D. f(x) = 2x + 1
- 2x + 1 gives 1, 3, 5, 7; it fits the first two rows only.
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