Video: Determining the Domain and Range of a Linear Function given a Function Table

By completing the table that shows the cost, 𝑦, of buying 𝑥 movie tickets, state the domain and range.

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Video Transcript

By completing the table that shows the cost 𝑦 of buying 𝑥 movie tickets, state the domain and range.

Before we find the domain and range, let’s complete the table. So 𝑥 represents the number of people and 𝑦 represents the cost of movie tickets in dollars. So looking at this first column, what does it mean? Since 𝑥 is equal to one, that means one person. And 𝑦 represents that cost of the movie ticket. So that means that one person cost 11 dollars.

So if one ticket cost 11 dollars, what if there is two people? That would be 11 dollars plus 11 dollars. So we would fill in 22 for that column. So for three people, we could add 11 to itself three times or take 11 times three and get 33 dollars. And lastly, for four people, that would be 11 added to itself four times or 11 times four to get 44 dollars.

So now, for domain and range, the domain is represented by the 𝑥-values — the numbers that we would plug in. The range would be the 𝑦-values — the numbers that you would get from plugging in a number, the output, the answers. This means the domain will be the number of people 𝑥 and the range will be the cost of movie tickets in dollars 𝑦.

So our final answer will be that the domain is equal to one, two, three, four. And the range is equal to 11, 22, 33, and 44.

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