Are these functions: 1. In a class of ninth graders, the relationship between shoe size (x-axis) and height (y-axis). 2. in a class of ninth graders, the relationship between student (independent variable) and height (dependent variable).

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Answer:

Your answer depends on the numbers showed to you.

Step-by-step explanation: To find your answer you need to look at the numbers on the x-axis are they the same repeating number each time(-1,9),(2,3),(4,-3)(-1,7) if they look like the example I just gave you then it is not a function. If the x-axis has all different number then yes it is a function.

The scenario 1 is not a function, while the scenario 2 is a function

How to determine the functions?

Scenario 1:

The relationship is between:

  • The shoe size on the x-axis
  • The height on the y-axis

It is true that a certain shoe size can belong to students of different heights.

This means that the relation is a one-to-many relation

A one-to-many relation is not a function;

Hence, this is not a function

Scenario 2:

The relationship is between:

  • Independent variable: Student
  • Dependent variable: Height

It is true that a student can have only one height.

This means that the relation is a one-to-one relation

A one-to-one relation is a function;

Hence, this is a function

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