Chapter 1: Q19. (page 67)

Determine whether the relation $\{(2, 3), (- 1, 3), (0, 4), (3, 2), (- 2, 3)\}$ is a function.

Short Answer

Expert verified

The relation $\{(2, 3), (- 1, 3), (0, 4), (3, 2), (- 2, 3)\}$ is a function.

Step by step solution

Step 1. Given information.

We have a relation $\{(2, 3), (- 1, 3), (0, 4), (3, 2), (- 2, 3)\}$

To show that this relation is a function or not.

Step 2. Concept apply.

We said any relation is a function, if each different first element is associated with a unique different second element in its all given ordered pairs.

Step 3. Calculation.

In the given relation each first value of the ordered pair is associated with a unique second value of the given ordered pair.

As 2 is associated with 3, $- 1$ is associated with 3, 0 with 4, 3 with 2 and $- 2$ is associated with 3.

Hence, the given relation is a function.

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Determine whether the relation $\{(2, 3), (- 1, 3), (0, 4), (3, 2), (- 2, 3)\}$ is a function.

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Concept apply.

Step 3. Calculation.

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Determine whether the relation2,3,−1,3,0,4,3,2,−2,3 is a function.

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Concept apply.

Step 3. Calculation.

One App. One Place for Learning.

Most popular questions from this chapter

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Determine whether the relation $\{(2, 3), (- 1, 3), (0, 4), (3, 2), (- 2, 3)\}$ is a function.