Determine whether each relation is a function: a. {(1, 6), (2, 6), (3, 8), (4, 9)}    b. {(6, 1), (6, 2), (8, 3), (9, 4)}.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter1: Expressions And Functions
Section1.7: Functions
Problem 29PPS
icon
Related questions
Question

Determine whether each relation is a function:
a. {(1, 6), (2, 6), (3, 8), (4, 9)}    b. {(6, 1), (6, 2), (8, 3), (9, 4)}.

Expert Solution
Step 1

Let there be two sets X and Y. A relation from X to Y is said to be a function if each element of X is related to exactly one element in Y. Although two different element of X can be related to the same element in Y.

Step 2

(a) {(1, 6), (2, 6), (3, 8), (4, 9)}  

x y
1 6
2 6
3 8
4 9

Values of X are distinct, so this relation is a function.

(b) {(6, 1), (6, 2), (8, 3), (9, 4)}

x y
6 1
6 2
8 3
9 4

Since values in X are not distinct, so this relation is not a function.

 

 

steps

Step by step

Solved in 3 steps

Blurred answer
Knowledge Booster
Relations
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning
Intermediate Algebra
Intermediate Algebra
Algebra
ISBN:
9780998625720
Author:
Lynn Marecek
Publisher:
OpenStax College
Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell
Intermediate Algebra
Intermediate Algebra
Algebra
ISBN:
9781285195728
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning