Chapter 8: Q7. (page 403)

Describe and correct the error in the given statement.
The relation $(1, - 5), (2, - 5), (3, 6), (4, 11)$ is not a function because the inputs 1 and 2 are both paired with the output $- 5$ .

Short Answer

Expert verified

The given relation isa function becausetwo x-values can have same out-put.

Step by step solution

Step 1. Given Information.

A relation: $(1, - 5), (2, - 5), (3, 6), (4, 11)$

Step 2. Explanation.

We know that a relationship will be also a function, when each input in the domain has exactly one specific corresponding output.

We also know that for a relation to be a function, one x-value cannot have two y-values, while two x-values can have same y-value.

Since 1 and 2 represent two different x-values (inputs), so they can have the same outputs.

Step 3. Conclusion.

The given relation is a function.

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Describe and correct the error in the given statement.
The relation $(1, - 5), (2, - 5), (3, 6), (4, 11)$ is not a function because the inputs 1 and 2 are both paired with the output $- 5$ .

Short Answer

Step by step solution

Step 1. Given Information.

Step 2. Explanation.

Step 3. Conclusion.

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Describe and correct the error in the given statement.The relation 1,-5,2,-5,3,6,4,11 is not a function because the inputs 1 and 2 are both paired with the output -5.

Short Answer

Step by step solution

Step 1. Given Information.

Step 2. Explanation.

Step 3. Conclusion.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Calculus

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Study anywhere. Anytime. Across all devices.

Describe and correct the error in the given statement.
The relation $(1, - 5), (2, - 5), (3, 6), (4, 11)$ is not a function because the inputs 1 and 2 are both paired with the output $- 5$ .