Chapter 1: Q3. (page 49)

Determine whether each relation is a function. Explain.
${(2, 2), (- 1, 5), (5, 2), (2, - 4)}$

Short Answer

Expert verified

The given relation is not a function.

Step by step solution

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.

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. 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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Determine whether each relation is a function. Explain.
${(2, 2), (- 1, 5), (5, 2), (2, - 4)}$

Short Answer

Step by step solution

Step 1. Domain and range of a function.

Step 2. definition of the function.

Step 3. Explanation.

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Determine whether each relation is a function. Explain.{(2,2),(−1,5),(5,2),(2,−4)}

Short Answer

Step by step solution

Step 1. Domain and range of a function.

Step 2. definition of the function.

Step 3. Explanation.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Applied Mathematics

Pure Maths

Theoretical and Mathematical Physics

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Discrete Mathematics

Study anywhere. Anytime. Across all devices.

Determine whether each relation is a function. Explain.
${(2, 2), (- 1, 5), (5, 2), (2, - 4)}$