Question

Examples 1 and 3 Determine whether each relation is a function. Explain.

Short answer

The given relation is not a function.

Step-by-step solution

Step 1. Interpret the meaning of the given 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. Calculation.

In the given relation every domain has not one range or every input has not one output. Here, domain or input 6 has ranges or outputs 9 and 10.

Thus, the given relation is not a function.