Q54. - Algebra 1

Question

FIND THE ERROR Corazon and Maggie are analyzing the relation to determine whether it is a function. Is either of them correct? Explain your reasoning.

Step-by-Step Solution

Answer

The conclusion made by Corazan and Maggie is incorrect. Because the given relation is a function.

Step 1. Given.

The analysis Corazon and Maggie made is as follows.

Step 2. Calculation.

A relation is called a function if the following conditions are satisfied:

 

1) Every value in its domain has a unique value in its codomain.

2) For every value of $x$, there is a unique value of $y$.

3) For every value of $x$, there must be only one value of $y$.

 

In the given relation, each value in the domain corresponds to one value in the codomain.

 

Hence, the given relation is a function. Thus the conclusion made by Corazan and Maggie is incorrect.

Step 3. Conclusion.

The relation follows the rules of being a function which isn’t the conclusion made by Corazon and Maggie. Therefore, the result follows.