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Chapter 1: Q27. (page 50)

Example 3 Determine whether each relation is a function.

[(5,鈭�7),(6,鈭�7),(鈭�8,鈭�1),(0,鈭�1)}

Short Answer

Expert verified

The given relation is a function.

Step by step solution

01

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.

02

Step 2. Concept Used.

And it is denoted as f:A鈫�Bwhich shows that function f maps every element of set A to a unique element of set B.

03

Step 3. Calculation.

In each ordered pair the x-coordinate has a unique y-coordinate. No x-value has more than one y-value.

Since each element of the domain has a unique value in the range, the relation is a function.

Thus, the given relation is a function.

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A)鈥夆赌夆赌夆赌夆赌夆赌夆赌�14鈥夆赌�square鈥�metersB)鈥夆赌夆赌夆赌夆赌夆赌夆赌夆��16鈥夆赌�square鈥�metersC)鈥夆赌夆赌夆赌夆赌夆赌夆赌夆��50鈥夆赌�square鈥�metersD)鈥夆赌夆赌夆赌夆赌夆赌夆赌夆��60鈥夆赌�square鈥�meters

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