Advanced MathMediumRecognising an exponential function from a table
Advanced Math practice question
Each table below gives values of a function at x = 0, 1, 2, and 3. Which table could represent an exponential function?
- A. y = 3, 6, 12, 24Correct
- B. y = 3, 6, 9, 12
- C. y = 3, 5, 9, 15
- D. y = 1, 4, 9, 16
Answer: A. y = 3, 6, 12, 24
An exponential function multiplies by the same factor each step: 3, 6, 12, 24 doubles each time.
Why the other answers are wrong
- B. y = 3, 6, 9, 12
- 3, 6, 9, 12 adds 3 each time: linear.
- C. y = 3, 5, 9, 15
- 3, 5, 9, 15 has neither a constant difference nor a constant ratio.
- D. y = 1, 4, 9, 16
- 1, 4, 9, 16 are the squares: quadratic.
More Advanced Math questions
- Medium
What are the solutions to x² − 5x + 6 = 0? - Medium
The graph of f(x) = (x − 3)² + 4 is a parabola. What are the coordinates of its vertex? - Medium
If x² − 2x − 8 = (x + 2)(x − a), what is the value of a? - Medium
If √(x + 5) = 4, what is the value of x? - Medium
If f(x) = x + 3 and g(x) = 2x, what is f(g(4))? - Medium
What are the solutions to x² + 6x + 8 = 0?
Not affiliated with the College Board. SAT is a trademark of the College Board.