Determining Whether a Relation Is a Function

Question:
A shop tracks the number of items sold each hour during opening hours. The data is shown in the following table. Time in hours after opening, paired with Items Sold: hour 1 sold 24 items, hour 2 sold 35 items, hour 3 sold 35 items, hour 4 sold 48 items, and hour 5 sold 52 items. Determine whether this relation is a function. Explain your reasoning using the definition of a function.

Determining Whether a Relation Is a Function

This lesson uses a data table of hours and items sold to explore the definition of a function. Students learn to identify inputs and outputs, check for repeated inputs, and apply the definition to decide whether a relation qualifies as a function. Special attention is given to the case where two different inputs share the same output value.

In this lesson, you will learn to:
• Write ordered pairs from a table and identify the domain and range.
• State