Chapter 8: Q13. (page 404)

Represent the relation as a graph and as a mapping diagram. Then tell whether the relation is a function. Explain your reasoning.
$(1, 2), (2, 1), (3, 0), (3, 4), (4, 3)$

Short Answer

Expert verified

The given relationis not a function.

Step by step solution

Step 1. Given Information.

A relation: $(1, 2), (2, 1), (3, 0), (3, 4), (4, 3)$

Step 2. Calculation.

Upon graphing our given relation, we will get our required graph as shown below:

The mapping diagram of our given relation would look like:

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

Upon looking at our given ordered pairs, we can see that each x-value corresponds to a specific y-value except 3. We can see that 3 corresponds to 0 and 4.

Step 3. Conclusion.

The given relation is not a function.

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Represent the relation as a graph and as a mapping diagram. Then tell whether the relation is a function. Explain your reasoning.
$(1, 2), (2, 1), (3, 0), (3, 4), (4, 3)$

Short Answer

Step by step solution

Step 1. Given Information.

Step 2. Calculation.

Step 3. Conclusion.

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Represent the relation as a graph and as a mapping diagram. Then tell whether the relation is a function. Explain your reasoning.1,2,2,1,3,0,3,4,4,3

Short Answer

Step by step solution

Step 1. Given Information.

Step 2. Calculation.

Step 3. Conclusion.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Statistics

Theoretical and Mathematical Physics

Discrete Mathematics

Applied Mathematics

Pure Maths

Logic and Functions

Study anywhere. Anytime. Across all devices.

Represent the relation as a graph and as a mapping diagram. Then tell whether the relation is a function. Explain your reasoning.
$(1, 2), (2, 1), (3, 0), (3, 4), (4, 3)$