Q24. - Algebra 1

Question

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

Step-by-Step Solution

Answer

The given relation is not a function.

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. Explanation.

If we draw a vertical line $x=4,\text{ and }x=6$, the line will intersect two points in each case. It implies that for these values of x, there are two different values in each case.

Since two elements of the domain have two different mappings in the range, the relation is not a function.

Thus, the given relation is not a function.