Chapter 4, Problem 7CA

To determine

Create a relation of five ordered pair that supports your claim .What relation of five ordered pair can your friend use to support her claim.

Answer to Problem 7CA

Your relation that is a function is (1,2) , (2,3) , (-3,0) , (-1,4) , (-2,2).

Your friend relation that is not a function is (1,2) , (1,3) , (1,4) , (2,4).

Explanation of Solution

Given information:you claim that you create a relation that is a function and your friend claim that she create a relation that is not a function .Using the given numbers

-4,-3,-2,-1,0,1,2,3,4 .

Calculation:

Domain is A [1,2,3,4,0,-1,-2,-3,-4].

Range is B [2,3,0,4,2].

Since in case first relation is also a function so every element of A has unique image in B this relation R:A $\to$ B is also a function.

In case second element of a do not have unique image in B so this relation R:A $\to$ B is not a function .

So,

Your relation that is a function is (1,2) , (2,3) , (-3,0) , (-1,4) , (-2,2).

Your friend relation that is not a function is (1,2) , (1,3) , (1,4) , (2,4).