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Chapter 1: Q1. (page 45)

Determine whether each relation is a function. Explain.

{(2,1),(3,鈭�2),(3,1),(2,鈭�2)}

Short Answer

Expert verified

This relation is not a function.

Step by step solution

01

Step 1. Given.

The given relation is:{(2,1),(3,鈭�2),(3,1),(2,鈭�2)}

02

Step 2. To determine.

We have to find if the given relation is a function.

03

Step 3. Calculation.

For a relation to be a function, we must have only one y value for each x value.

For this relation:

For x = 2, we have y = 1 and y = 鈥�2.

For x = 3, we have y = 1 and y = 鈥�2.

So, for each x value, there are two y values. This implies that this relation is not a function.

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