Relations and Functions Quiz

Name:

Date:

📚 Part 1: Multiple Choice

1. Which of the following relations is a function?

A. {(1,2), (1,3), (2,4)}

B. {(0,1), (1,1), (2,1)}

C. {(2,3), (3,4), (2,3)}

D. {(3,5), (4,5), (3,6)}

2. Is the relation defined by y = 2x + 1 a function?

A. Yes

B. No

3. Evaluate f(2) for f(x) = 3x − 4.

A. 2

B. 6

C. 0

D. −2

4. Check all statements that are true about functions.

Each input x has exactly one output y.

Each output y has exactly one input x.

The graph of a function passes the vertical line test.

The graph of a function always passes the horizontal line test.

✏️ Part 2: Short Answers & Matching

5. Given the relation {(−1,4), (0,1), (2,5)}: List the domain and the range.

Domain: _____________

Range: _____________

6. Find the function rule that matches the input-output pairs: 2 → 5, 3 → 7, 4 → 9.

7. Is g(x) = x³ one-to-one? Briefly explain your answer.

8. Match each term on the left with the correct definition on the right. Draw lines in the space between.

A. Relation

B. Function

C. Domain

D. Range

E. One-to-one

1. All possible output values

2. A set of input-output pairs

3. Each input maps to exactly one output

4. All possible input values

5. Each output comes from exactly one input

Learning Targets & Supports

I can... identify relations and functions; determine domain and range; write simple function rules; explain one-to-one vs. many-to-one.

Success criteria: Correctly classify relations; list domain and range from sets or tables; evaluate functions for given x; produce a correct function rule from input-output pairs.

Differentiation strategies: Provide worked examples or number lines for students who need extra support; offer guided hints and step-by-step templates; allow calculators for arithmetic when needed.

Extension activity (advanced learners): Model a real-world situation with a function (for example, volume V as a function of radius for a cylinder) and explain domain restrictions. You may also explore inverse functions and test for one-to-one behavior.

Dyslexia-friendly options: Provide this sheet in a larger sans-serif font, use increased spacing between lines, and offer audio playback of questions when requested.