Advanced MathMediumFunction with a constant increase per unit step
Advanced Math practice question
For which of the following functions is f(x + 1) = f(x) + 3 for every value of x?
- A. f(x) = 3x + 1Correct
- B. f(x) = 3ˣ
- C. f(x) = x² + 3
- D. f(x) = 3
Answer: A. f(x) = 3x + 1
A linear function with slope 3 rises by exactly 3 for each unit increase in x.
Why the other answers are wrong
- B. f(x) = 3ˣ
- 3ˣ is multiplied by 3 each step, not increased by 3.
- C. f(x) = x² + 3
- x² + 3 rises by 2x + 1, which depends on x.
- D. f(x) = 3
- A constant function does not change.
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