150k views
0 votes
Determine if the following relations represent a function. Give a reason for your answer.

a. {(0,-2), (3,5), (4,-2), (0,7)}
b. X is height of student; Y is his/her age
c. X is the number of minutes on the treadmill; Y is the number of calories burned.
d. none of these

User Wahwahwah
by
8.1k points

1 Answer

4 votes

Final answer:

To determine if a relation represents a function, we need to check if each input value (x-coordinate) is paired with exactly one output value (y-coordinate). There are specific criteria to analyze each relation provided in the question.

Step-by-step explanation:

To determine if a relation represents a function, we need to check if each input value (x-coordinate) is paired with exactly one output value (y-coordinate). Let's analyze each relation:

a. {(0,-2), (3,5), (4,-2), (0,7)}

This relation is not a function because the input value x = 0 is paired with two different output values y = -2 and y = 7.

b. X is height of student; Y is his/her age

This relation can represent a function if each height is paired with a unique age. However, without specific data, we cannot determine if this relation is a function.

c. X is the number of minutes on the treadmill; Y is the number of calories burned

This relation can represent a function since for every value of minutes on the treadmill, there will be a unique number of calories burned.

d. none of these

This answer option does not provide any specific relation, so we cannot determine if it represents a function or not.

User Bisera
by
7.5k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories