5
QuizMultiple Choice

Introduction to Functions — Quiz

Question 5 • Mathematics 8

If the relationships shown are given in the form (input, output), which pairing always describes a function?

Answer
A
(distance from home during a trip, time elapsed during the trip)
B
(number of doors in a car, number of cup holders in the car)
C
(beverage charge on a bill, total meal charge on the bill)
D
(height of a building in feet, height of the building in inches)

Explanation

A relation is a function when each input has exactly one output. A building’s height in feet determines one height in inches because inches = feet × 12; for example, 10 feet is 120 inches. The other pairings can have the same input with different outputs, so they do not always describe functions.

AI-written and checked against the verified answer.

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