Intro to Functions

Introduction

FUNCTIONS...HUH?? What's that?

If you say everybody in the eighth-grade class belongs to a ninth-grade club, you're describing a relation. For every ninth-grader you name, you can point to at least one club. And, for every ninth-grade club you name, you can point to at least one class member.

If you described one of these clubs by calling it The Club That John Belongs To, you might have a hard time making yourself understood if John belongs to more than one club. But if John belongs to only one club, this relation is always clear and we call the relation a function.

Introduction quoted from "Math on Call" by  Andrew Kaplan, 2004, Great Source Education Group, pg 231

Task

 
Your mission (yes, you MUST accept it) is to THOROUGHLY read the instructions on the "Process" tab and complete all of the tasks assigned for this webquest.  Answer all of the questions NEATLY on your own sheet of paper and turn the COMPLETED sheet in to Ms. Whylly or Mr. Raber by the end your class today. Don't worry...we know that you can do this, and we know you're going to do it right! Why, you may ask? Because we know what our kids are capable of doing, and THIS...you can do!

Process

 
 

All answers to the tasks must be reflected on your papers that will be turned in to Ms. Whylly or Mr. Raber. If we cannot understand it, due to it not being NEAT...you will receive no credit for this CLASSWORK grade. This is an INDEPENDENT CLASSWORK assignment. Therefore ensure that you work on it individually. This is NOT group work.

 

Task 1 - After watching both videos, answer the following questions on your worksheet:

               1. Explain the easiest way to see if a relation represents a function. (as stated in one of the videos)

               2. What is the definition of a relation?

               3. Write 3 examples of a relation.

               4. What is the domain of a set or ordered pair? What is the range?

               5. What is the definition of a function?

               6. Complete this statement: Whenever the ____ appears more than once, it is NOT a function.

               7. Explain the vertical line rule.

 

Task 2 - Answer the following questions on the worksheet:

               1. Create an example of a set of values that would be an example of a function. Do this in TABLE FORM.

               2. Create an example of a set of values that would NOT be an example of a function. Do this by making a list of the ORDERED PAIRS. (Must have at least FOUR ordered pairs)

 

Task 3 - Look at all the images of the graphs attached below. State whether or not each is a function by using the words "YES" or "NO".

 

 

Video 1:

https://youtu.be/C1e7WYqM8ho

 

Video 2:

https://youtu.be/NlhQqmLN51M

 

Images:

Evaluation

 
Fully complete each task to the best of your ability.  Write your answers on your own sheet of paper.  This is a graded classwork assignment. This assignment is to be completed in class and turned in to Ms. Whylly or Mr. Raber prior to you leaving class. Before turning in your sheet, make sure you review your answers. You will not get it back once you turn it in to us until it has been graded. Ensure your name is on it. NO NAME = NO CREDIT.

Conclusion

 

YOU ARE DONE! YES! You've just completed your Webquest! See...it wasn't painful! Hopefully after completing this assignment, you now have an understanding of what a function and a relation are and have the ability to identify them. I KNEW YOU COULD DO IT!

Now, review your answers and turn your sheet into your teacher. GOOD JOB!