Chapter SH, Problem 1.5.2EP

To determine

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

Answer to Problem 1.5.2EP

The domain of the relation is $\left\{5,8,13,21\right\}$ and range is $\left\{7,13,23,39\right\}$ and table is provided below,

  $\begin{array}{cc}\text{Kilan}’\text{s CD}\left(x\right)& \text{Natalie}’\text{s CD}\left(y\right)\\ 5& 7\\ 8& 13\\ 13& 23\\ 21& 39\end{array}$

Explanation of Solution

Given information:

The table is mentioned below.

Formula used:

Kilans CD has input $\left(x\right)$ which is set of domain and Natalies CD has a output $\left(y\right)$ which is the set of range.

Calculation:

Consider the table

Since to complete the table, we have the details of input $\left(x\right)$ .

For the output $\left(y\right)$ it is mentioned in the table above that $3$ less than twice of $\left(x\right)$

Therefore

  $\begin{array}{l}5*2-3=7\\ 8*2-3=13\\ 13*2-3=23\\ 21*2-3=39.\end{array}$

So the tabular form is mentioned below.

  $\begin{array}{cc}\text{Kilan}’\text{s CD}\left(x\right)& \text{Natalie}’\text{s CD}\left(y\right)\\ 5& 7\\ 8& 13\\ 13& 23\\ 21& 39\end{array}$

Recall that Kilans CD has input $\left(x\right)$ which is set of domain and Natalies CD has a output $\left(y\right)$ which is the set of range.

Therefore domain is $\left\{5,8,13,21\right\}$ and range is $\left\{7,13,23,39\right\}$ .