Last updated: October 22, 2026 · Written by the Math Made Easy math teachers
Looking for a function notation quiz? Then this Algebra 1 quiz on Understanding Functions and Function Notation asks 10 multiple-choice questions with instant feedback. Ten multiple-choice questions on functions, the vertical line test, evaluating f(x) and domain and range. The explanations show the usual mistake behind each wrong answer.
Standards: F-IF.A.1, F-IF.A.2, F-IF.B.5 · Level: Grade 9 Algebra 1
What this Understanding Functions and Function Notation quiz checks
- Every input in the domain has exactly one output.
- A graph fails the vertical line test when one input has two outputs.
- f(a) = b means the output is b when the input is a.
- Domain is read left to right on a graph; range is read bottom to top.
- Discrete domains contain separate values; continuous domains fill an interval.
The 10 questions of the quiz
- Which relation is a function?
- If f(x) = 2x − 7, what is f(6)?
- Why is the graph not a function?
- If f(t) is a hiker’s elevation in feet after t hours, what does f(3) = 2,400 mean?
- What is the domain of the graphed function?
- A shop sells pizzas for $12 each and has 8 pizzas in stock, so the cost is 12n. What is the domain?
- If g(x) = x2 + 1, what is g(−2)?
- For f(x) = x2 with all real inputs, what is the range?
- If f(x) = 3x + 2, for which x is f(x) = 17?
- If f(x) = x + 5, what is f(a + 2)?
After the quiz
Missed a question? Reread the Understanding Functions and Function Notation lesson, then take the quiz again. Next, solve the Algebra 1 worksheet on Understanding Functions and Function Notation, 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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