Question

Example 1 Determine whether each relation is a function. Explain.

Short answer

This relation is a function.

Step-by-step solution

Step 1. Given.

The given relation is:

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 = 4, we have y = 5

For x = - 6, we have y = 5

For x = 3, we have y = 3

For x = -2, we have y = 4

So, for each x value, there is only one y-value. This implies that this relation is a function.