AlgebraMediumConstant difference of consecutive outputs
Algebra practice question
A linear function f satisfies f(3) = 10 and f(7) = 22. What is the value of f(x) − f(x − 1) for any value of x?
Answer: 3
The slope is (22 − 10)/(7 − 3) = 3, so each unit increase in x adds 3 to f: f(x) − f(x − 1) = 3.
Common wrong answers
- If you answered 1
- 1 is the change in x, not in f.
- If you answered 4
- 4 is the change in x between the given points.
- If you answered 12
- 12 is the change over 4 units, not 1.
More Algebra questions
- Medium
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