Case of the Week #9 on Types of Functions

Title: Types of Functions

Question: What are the different types of functions?

Hypothesis: What kinds of graphs do you think are functions?
Answer: Most parabolas can be graphed as functions, and linear equations, and cubics.
What kinds of graphs do you think are not a function?
Answer: Any closed figure is not a function.

A function is a type of relation.

Define function: a relation where every input has one and only one output.
I think that there will be many different types of functions.
Materials: Pen
Paper
Problems to solve

Investigation:

Graph the following and do the Vertical Line Test.

(1) Parabola y = x^2


(2) Cubic y = x^3



(3) Circle


Conclusion: Write a conclusion based on the work you have just done.

In my hypothesis I said that there will many types of functions and based on the work I have done I found out that I was correct. I was also correct when I said that most parabolas can be functions and that any closed figure is a function. The answer to the question, what are the different types of functions is parabolas, cubics, linear equations and based on prior knowledge a quadratic equation, absolute values and square roots can also all be functions.

Lab Assignment on Functions

The first of March...the month of the DC 9th Grade College Trip...and lots of cool Math B.

In lab today, you will be working on 2 projects.

(1) Posting comments on the Cases of the Week

First, you are going to evaluate how good the 'pitch' is for the Cases of the Week posted on the blog. Discuss presentation (font color, pictures, etc.), accuracy, writing style, audience, case solving, etc. How well did the blogger answer the lab question and did they follow the Case of the Week format? Make sure the comments you post are constructive, positive and useful.

(2) Working in a group of 3 (with 2 peers), you will be posting information for functions on the blog. Type your post in Word first, and save it to the student server. Your posting should include the following:

*introduction presenting your topic
*important definitions
*important procedures and points
*example problems
*relevant pictures and/or graphs
*problems for other visionaries to try
*summary/conclusion

The topics you have to choose from are listed below. No groups can chose the same topic, so you must communicate with all your peers in lab (since Mrs. Collins has no voice!).

FUNCTION TOPICS:

A. Vocabulary on Functions and Conic Sections, including Examples (in abc order)
B. Types of Functions
C. Models and Graphs to Represent Functions
D. Domain and Range
E. VLT and proving functionality
F. HLT to see if function has an inverse
G. 3 Methods of finding the inverse of a function
H. Relations with Playas and Functions with No Playas
I. Transformations of functions (translations, rotations and reflections)

Happy Blogging!
Mrs. Collins