Explore BrainMass

# Functions, relations, and linear equations

Not what you're looking for? Search our solutions OR ask your own Custom question.

This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

1. In the real world, what might be a situation where it is preferable for the data to form a relation but not a function?

There is a formula that converts temperature in degrees Celsius to temperature in degrees Fahrenheit. You are given the following data points:

Fahrenheit Celsius
Freezing point of water 32 0
Boiling point of water 212 100

2. Find the linear equation that expresses temperature in degrees Fahrenheit as a function of temperature in degrees Celsius.

3. Find the linear equation that expresses temperature in degrees Celsius as a function of temperature in degrees Fahrenheit.

4. How do the graphs of these two functions differ?

https://brainmass.com/math/linear-algebra/functions-relations-and-linear-equations-52514

#### Solution Preview

Please see the attached document for a better formatted solution

First of all, let us define a function: A function is a relation where no x -value apperas more than once (with different y-values).

A one-to-one function is a function whereeach x -value corresponds to only one y-value.
A regular function can occur when one y-value correspond to 2 x-values.

There is an easy way to remember this:

Let us say that the data represented by x values is kids (John, Rick, Bill, Tom)
And the one that is represented by y-values is mothers ( Mary, Sue, Anne)
(Domain) (Range)
Kids Mothers
John Mary

Rick Sue

Bill Anne

Tom Lina

As you can see, John CANNOT have 2 mothers, but Anne CAN have 2 kids.

Of course, a One-to-One function occurs when Each Mother ...

\$2.49