Last updated: October 22, 2026 · Written by the Math Made Easy math teachers
Looking for a functions quiz? Then this Grade 8 quiz on Understanding Functions and Their Graphs asks 10 multiple-choice questions with instant feedback. Ten quick questions on functions. Choose one answer for each. The explanations point out the usual slips, such as confusing repeated outputs with repeated inputs.
Standards: 8.F.A.1, 8.F.A.2, 8.F.A.3 · Level: Grade 8
What this Understanding Functions and Their Graphs quiz checks
- Function: every input has exactly one output.
- Vertical line test: a graph is a function if no vertical line hits it twice.
- Different inputs may share the same output.
- Linear function: y = mx + b with constant rate of change m.
- Compare functions by rate of change and initial value, whatever their representation.
The 10 questions of the quiz
- Pick the set of pairs in which every input has a single output.
- For f(x) = 6x − 1, find f(2).
- If f(x) = x² − 4, what is f(−3)?
- Which equation is nonlinear?
- What does the vertical line test check?
- A table has x = 1, 2, 3 and y = 4, 7, 10. What is the rate of change?
- Function A is y = 5x + 2. Function B has rate 4 and initial value 9. Which has the greater rate of change?
- Is the area A = s² of a square linear in the side s?
- Is the mapping a function?
- What is the rate of change of the function shown?
After the quiz
Missed a question? Reread the Understanding Functions and Their Graphs lesson, then take the quiz again. Next, solve the Grade 8 worksheet on Understanding Functions and Their Graphs, one star first, then two and three stars. Finally, take the chapter test under real conditions, without notes and with a timer.
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