COLLEGE ALGEBRA UNIT 3 WRITING ASSIGNMENT. This unit has primarily
been about functions. Answer the following questions to aid yourselves in
creating ...
COLLEGE ALGEBRA UNIT 3 WRITING ASSIGNMENT This unit has primarily been about functions. Answer the following questions to aid yourselves in creating your own study guide. 1)
What is the definition of a function?
2)
What does the notation ( ) mean to you?
3)
Why is it beneficial to use function notation rather than just using “y = …………..“?
4)
Conceptually, what is the meaning of the domain of a function?
5)
In class we discussed two main reasons why a number (or set of numbers) might be excluded from the domain. What are these two main things we look for?
6) You are given the graph of ( )
√ :
a) Describe in words how you would use the above graph to sketch ( )
√
.
b) Describe in words how you would use the above graph to sketch ( )
√
.
c) Describe in words how you would use the above graph to sketch ( )
√ .
7) Describe in words how you would take an existing graph of a function, and make a sketch of the graph of its inverse.
8)
Describe in words how you take an equation of a function, and find the equation for the inverse function.
9)
Describe in words what you think the main idea of an inverse function is.
10) Describe in words how you compose two functions. Include any appropriate notation that may help you explain.
11) Describe in words the Vertical Line Test.
12) Describe the differences between a piece-wise defined function and the other functions we have dealt with.
