Question

Example 3 Determine whether each relation is a function.

$\left[\right(5,-7),(6,-7),(-8,-1),(0,-1\left)\right\}$

Short answer

The given relation is a function.

Step-by-step solution

Step 1. Definition of Function.

A function is defined as the relation between two sets that maps elements of the first to a unique element of the second set.

Step 2. Concept Used.

And it is denoted as $f:A\to B$which shows that function f maps every element of set A to a unique element of set B.

Step 3. Calculation.

In each ordered pair the x-coordinate has a unique y-coordinate. No x-value has more than one y-value.

Since each element of the domain has a unique value in the range, the relation is a function.

Thus, the given relation is a function.