Chapter 1.1, Problem 18E

To determine

To find: the relation of the values as table, equation and graph. The domain is all negative integer greater than -7, x is a member of domain and range is x less 5.

Answer to Problem 18E

x	-6	-5	-4	-3	-2	-1
y	-11	-10	-9	-8	-7	-6

  $y=x-5$

  

Explanation of Solution

Given information: The domain is $-7<x\le -1$ . So, the values will be $\{-6.-5,-4,-3,-2,-1\}$

x is a member of domain and the range of y is x less 5.

Calculation:

Subtracting each element of domain by 5, the range will be as follows:

  $\{-11,-10,-9,-8,-7,-6\}$

The relation can be represented in table of values form as follows:

x	-6	-5	-4	-3	-2	-1
y	-11	-10	-9	-8	-7	-6

Since, range of y is x less 5, and x is a member of domain. The relation can be represented in equation form as follows:

  $y=x-5$ , where $x\in \mathbb{Z}$ and $-7<x\le -1$

On plotting the table values on a graph, the graph relation can be represented as follows: