Chapter SH, Problem 1.5.1EP

To determine

To express: the domain and range of a function of a table mentioned below.

Answer to Problem 1.5.1EP

The domain of the relation is $\left\{4,8,15,20\right\}$ and range is $\left\{28,56,105,140\right\}$ .Relation as a table is provided below,

  $\begin{array}{cc}\text{No}.\text{ of tickets}& \text{total cost}\left(\$\right)\\ 4& 28\\ 8& 56\\ 15& 105\\ 20& 140\end{array}$

Explanation of Solution

Given information:

The table is mentioned in the problem.

Formula used:

A relation is a set of ordered pairs of the form $\left(x,y\right)$ , where x is the element of domain and y is the element of range.

Calculation:

Consider the table

Since to complete the table, we have the cost of each ticket.

That is one ticket $=7\$$ .

Therefore for total number of tickets we will multiply the ticket with $7\$$ .

So the tabular form is mentioned below.

  $\begin{array}{cc}\text{No}.\text{ of tickets}& \text{total cost}\left(\$\right)\\ 4& 28\\ 8& 56\\ 15& 105\\ 20& 140\end{array}$

Now, domain of the relation is the set of all x -coordinates of number of tickets and range is the set of all y -coordinates of total cost.

Therefore, domain of the function of a table is $\left\{4,8,15,20\right\}$ and range is $\left\{28,56,105,140\right\}$ .