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.