Algebra / Linear Functions
Linear Functions
Parameter questions for linear functions may ask for an unknown slope, intercept, or coefficient from function values or rate-of-change conditions.
Least you need to know
- For a linear function, the rate of change is constant.
- A function value such as $f(3)$ gives an equation involving the input 3.
Key notation
- $f(x)=mx+b$ — Slope-intercept form of a linear function
Worked example
- Substitute the given input-output pair into the function rule.
- Solve for the unknown parameter.
Common mistakes
- Do not treat function notation as multiplication.
How to recognize it
- The problem gives a linear function with an unknown coefficient.
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