Relations and Functions

Which of the following best describes a function?

• A relation where one input is paired with two outputs.

• A relation where each input is paired with exactly one output.

• A set of numbers with no specific rule.

• A graph with more than one line.

In the ordered pair (2, 5), which number represents the domain?

• 2

• 5

• both

• neither

Which of the following represents a real-life example of a function?

• A person and their favorite foods

• Student and their LRN number

• Teacher and subjects taught

• Fruits and vitamins contained

Which situation below is not a function?

• Each employee has one ID number.

• Each person has one birthdate.

• A customer may buy many products.

• Each book has one ISBN code.

In a function machine, if the rule is “multiply by 2,” and the input is 5, what is the output?

• 5

• 7

• 10

• 25

Which of the following graphs represents a function?

• A graph that passes the vertical line test only once.

• A graph where the vertical line crosses two points

• A circle on the coordinate plane.

• A curve that opens sideways.

In your community, each house number corresponds to a specific household. How can this situation be described?

• As a function

• Not a function

• Many-to-many relation

• Random relation

In the ordered pair (–3, 7), which is the range?

• -3

• 7

• both

• neither

Which set of ordered pairs represents a function?

• {(1, 2), (2, 3), (3, 4), (2, 5)}

• {(4, 1), (5, 2), (6, 3), (7, 4)}

• {(1, 2), (1, 3), (2, 4)}

• {(5, 7), (6, 7), (7, 8), (6, 9)}

Which statement correctly describes the relationship between domain and range in a function?

• The range is the set of all possible inputs.

• The domain is the set of all possible outputs.

• The domain represents inputs, and the range represents outputs.

• Both the domain and range always contain identical values since every input produces the same corresponding output.