Q1. - Algebra 1

Question

Determine whether each relation is a function. Explain.

$\left\{\right(2,1),(3,-2),(3,1),(2,-2\left)\right\}$

Step-by-Step Solution

Answer

This relation is not a function.

Step 1. Given.

The given relation is: $\left\{\right(2,1),(3,-2),(3,1),(2,-2\left)\right\}$

Step 2. To determine.

We have to find if the given relation is a function.

Step 3. Calculation.

For a relation to be a function, we must have only one y value for each x value.

For this relation:

For x = 2, we have y = 1 and y = –2.

For x = 3, we have y = 1 and y = –2.

So, for each x value, there are two y values. This implies that this relation is not a function.