Chapter 10: Q. 448 (page 1067)

Determine if the following set of ordered pairs
represents a function and if so, is the function one-to-one.
$(- 2, 2), (- 1, - 3), (0, 1), (1, - 2), (2, - 3)$

Short Answer

Expert verified

The function is not one-one.

Step by step solution

Step 1. Given information

The set of ordered pairs

$(- 2, 2), (- 1, - 3), (0, 1), (1, - 2), (2, - 3)$

Step 2. Write the concept

A set of ordered pairs is called a function if for every value of x there is a corresponding value of y.

Step 3. Calculation

A Function is said to be one-one, if, for each ordered pair, each value of y is matched with only one value of x.

In the ordered pair $(- 1, - 3) a n d (2, - 3)$ the value of y is not paired with only one value of x.

Therefore it is not one-one.

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Determine if the following set of ordered pairs
represents a function and if so, is the function one-to-one.
$(- 2, 2), (- 1, - 3), (0, 1), (1, - 2), (2, - 3)$

Short Answer

Step by step solution

Step 1. Given information

Step 2. Write the concept

Step 3. Calculation

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Determine if the following set of ordered pairsrepresents a function and if so, is the function one-to-one.(−2,2),(−1,−3),(0,1),(1,−2),(2,−3)

Short Answer

Step by step solution

Step 1. Given information

Step 2. Write the concept

Step 3. Calculation

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Logic and Functions

Applied Mathematics

Decision Maths

Mechanics Maths

Theoretical and Mathematical Physics

Discrete Mathematics

Study anywhere. Anytime. Across all devices.

Determine if the following set of ordered pairs
represents a function and if so, is the function one-to-one.
$(- 2, 2), (- 1, - 3), (0, 1), (1, - 2), (2, - 3)$