Question

Determine whether each relation is a function.

$\left\{\right(4,5),(3,-2),(-2,5),(4,7\left)\right\}$

Short answer

The given relation is not 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. Observation from the given relation.

Observe that in the first and last ordered pair, the x-coordinate has two different y-coordinates. The x-value 4 has two different y-values as 5 and 7.

Since each element of the domain does not have a unique value in the range, the relation is not a function.

Thus, the given relation is not a function.