Q7. - Algebra 1

Question

Refer to the relation in the table below. Which of the following values would result in the relationship not being a function?

x	$-6$	$-2$	0	?	3	5
y	$-1$	8	3	$-3$	4	0

$\begin{array}{l}\mathrm{A}-1\\ \mathrm{B}3\\ \mathrm{C}7\\ \mathrm{D}8\end{array}$

Step-by-Step Solution

Answer

The correct option is $\mathrm{B} 3$.

Step 1. Criteria for a function.

The relation is not a function if one x value goes to more than one y value.

Step 2. The x values are in the table.

From the table, we know that the value of x are $-6,-2,0,3\mathrm{and}5$.

So, the only x value the relation could have when y is 3 that would make it not be a function is 3.

Step 3. Check for the correct option.

Hence, the correct option is $\text{B} 3$.