Purchase Solution

Functions, relations, and linear equations

Not what you're looking for?

Ask Custom Question

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?

Purchase this Solution
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 ...

Solution provided by:
Manal Elkhoshkhany, MBA
Education
  • BA, Ain Shams University, Cairo Egypt
  • MBA, California State University, Sacramento
Recent Feedback
  • "ty i have more need help with"
  • "ty i have jmore i need help with"
  • "great help"
  • "excellent help"
  • "Very helpful and easy to understand."
Purchase this Solution
Free BrainMass Quizzes
Know Your Linear Equations

Each question is a choice-summary multiple choice question that will present you with a linear equation and then make 4 statements about that equation. You must determine which of the 4 statements are true (if any) in regards to the equation.

Geometry - Real Life Application Problems

Understanding of how geometry applies to in real-world contexts

Graphs and Functions

This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.

Multiplying Complex Numbers

This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.

Solving quadratic inequalities

This quiz test you on how well you are familiar with solving quadratic inequalities.

View More Free Quizzes
Related BrainMass Solutions

  • Quantitative Reasoning - Functions and Equations

    Regards, Faisal This solution contains explanations and calculations for a quantitative reasoning problem, using functions and equations.

  • Function Definitions and Linear Equations

    309281 Functions, Models, and Linear Equations 1. What is a function? 2. What is a linear function? 3. What form does a linear function take? (I.e., What is the standard mathematical notation of a linear function?) 4.

  • Differential equations

    This provides examples of working with differential equations, including classifying, writing differential equations to fit descriptions, determine whether functions and relations are solutions, and determining whether an initial value problem has a solution

  • Comparing Relations and Functions

    89500 Comparing Relations and Functions; AIDS, Heart Disease, Trends and Forecasting 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? 2.

  • Determining Inverse Functions and Relations

    When graphing linear functions it is best to put the equation in the point-slope form y = mx + b where m= slope and b = y-intercept.

  • Functions and Linear equations

    186471 What similarities and differences do you see between functions and linear equations? What similarities and differences do you see between functions and linear equations? Are all linear equations functions?

  • Solving Quadratic Equations and Graphing Squares

    2x - 5√x + 2 = 0 Section 9.1 #10 Linear and constant functions.

  • Functions and Linear Equations

    248784 Functions and Linear Equations Could you explain to me the difference between functions and linear equations? I need to know if all linear equations are functions and if there are any instances in which a linear equation is not a function.

  • similarities and differences between the functions and linear equations

    399657 Linear equations are assessed. What similarities and differences do you see between the functions and linear equations studied in Ch. 3? Are all linear equations functions? Is there an instance when a linear equation is not a function?

  • Equilbrium values for given linear demand/supply curves

    191168 Demand and Supply Linear functions The following relations describe monthly demand and supply for a computer support service catering to small businesses: Qd=3,000 -10 P Qs=-1,000+ 10P where Q is the number of businesses that need services

View More Related Solutions