Question

A trainer takes a survey of all the athletes in a school about their height, rounded to the nearest inch, and their grade level. The trainer relates their grade levels to their heights. Is this a function?

Answer 1

It is not function

Explanation:

Function is relate the output variable to the input variable and every input has only one output.

Since, here the single grade level can be has two heights or same height athletes can has two different grades, means it is possible that two athletes of same height can has different grade and also athlete got same grade has different height.

So, it is not a function since for single input value has more than one output.

Answer 2

No.

Explanation:

We have been given that a trainer takes a survey of all the athletes in a school about their height, rounded to the nearest inch, and their grade level. The trainer relates their grade levels to their heights.

Since we know that a function gives exactly one output for a given input.

Let us see that this relationship is a function or not.

We can see that this is not a function because there can be students from different grades with same height. So we can see that one input produces multiple outputs, therefore, this is not a function.