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:
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?© BrainMass Inc. brainmass.com November 24, 2021, 11:49 am ad1c9bdddf
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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)
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 ...