Question

The table shows the cost of purchasing 1,2,3 or 4 T-shirts from souvenir shop.

Is the cost a function of the number of T-shirts purchased?

Answer 1

From the above diagram, we can see a well-defined one-to-one mapping from the domain $\{1,2,3,4\}$ onto the range $\{\$10,\$18,\$24,\$28\}$.

Hence, the ordered pairs are $(1,10)(2,18)(3,24)(4,28)$.

We know a relation is a function only if it relates each element in its domain (input) to only one element in the range (output).

Here, each input has exactly one output. Then relation is a function.

Hence, the cost of the number of T-shirts purchased is a function.