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Chapter 1: Q3. (page 49)

Determine whether each relation is a function. Explain.

{(2,2),(鈭�1,5),(5,2),(2,鈭�4)}

Short Answer

Expert verified

The given relation is not a function.

Step by step solution

01

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.

02

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.

03

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.

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