Advanced MathEasy–MediumIdentifying exponential growth from a table
Advanced Math practice question
x: 0, 1, 2, 3
f(x): 4, 12, 36, 108
The table shows values of a function f. Which equation could define f?
- A. f(x) = 4(3)ˣCorrect
- B. f(x) = 4 + 8x
- C. f(x) = 3(4)ˣ
- D. f(x) = 12x
Answer: A. f(x) = 4(3)ˣ
Each step multiplies by 3 (4 → 12 → 36 → 108), so the function is exponential with base 3 and f(0) = 4.
Why the other answers are wrong
- B. f(x) = 4 + 8x
- 4 + 8x is linear: 4, 12, 20, 28.
- C. f(x) = 3(4)ˣ
- 3(4)ˣ starts at 3 and multiplies by 4.
- D. f(x) = 12x
- 12x gives 0 at x = 0.
More Advanced Math questions
- Easy–Medium
If f(x) = 2x² − 3, what is f(4)? - Easy–Medium
Which expression is equivalent to (2x³)(3x⁴)? - Easy–Medium
What are the solutions to x² − 16 = 0? - Easy–Medium
Which expression is equivalent to (x + 5)²? - Easy–Medium
For x ≠ 0, which expression is equivalent to (x² + 3x) / x? - Easy–Medium
What are the solutions to the equation 2(x − 3)² − 32 = 0 ?
Not affiliated with the College Board. SAT is a trademark of the College Board.