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Chapter 1: Q5. (page 49)

Determine whether each relation is a function. Explain.

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.

From the given graph, atx=0⇒y=1,6

03

Step 3. Interpreting the graph.

A single input, we have two outputs.

Therefore, the given relation is not a function.

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