Chapter 1.1, Problem 19E

To determine

To find: the relation of the values as table, equation and graph. The domain is all integers greater than -5, x is a member of domain and range is 8 more than x.

Answer to Problem 19E

x	-4	-3	-2	-1	0	1	2	3	4
y	4	5	6	7	8	9	10	11	12

  $y=x+8$

  

Explanation of Solution

Given information: The domain is $-5<x\le 4$ . So, the element will be $\{-4,-3,-2,-1,0,1,2,3,4\}$

xis a member of domain and the range of y is $8+x$ .

Calculation:

Adding 8 to each element of domain, we get the range as $\{4,5,6,7,8,9,10,11,12\}$ .

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

x	-4	-3	-2	-1	0	1	2	3	4
y	4	5	6	7	8	9	10	11	12

Since, range of y is 8 more than x, and x is a member of domain. The relation can be represented in equation form as follows:

  $y=x+8$ , where $x\in \mathbb{Z}$ and $-5<x\le 4$

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