Q3. - Algebra 1

Question

Determine whether each relation is a function. Explain.

$\left\{\right(2,2),(-1,5),(5,2),(2,-4\left)\right\}$

Step-by-Step Solution

Answer

The given relation is not a function.

Step 1. Domain and range of a function.

In a function domain is the set of input (x) values and the range is the set of output (y) values.

Step 2. definition of the function.

A relation is said to be a function of each element in the domain of the relationship that has a unique value in the range. That is, no element in the domain has more than one value in the range.

Step 3. Explanation.

Domains are -1, 2, and 5. Ranges are -4, 2, and 5.

Thus, the given relation is not a function. That is because every domain has not one range or every input has not one output. Here, domain or input 2 has two ranges or outputs -4 and 2.