Question

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

Answer 1

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.