math project

MAC 1105

Project 1. Drawing with the Library of Functions.

Objectives:

1. Identify the graphs and characteristics of the following functions:

a.

b.

c.

d.

e.

f.

g.

h. (greatest integer less than x) [ floor(x)]

Tasks.

1. Become familiar with the graphing tool Desmos.

https://www.youtube.com/watch?v=_6-7Vp4oeKc&feature=emb_rel_end http://s3.amazonaws.com/desmos/Desmos_User_Guide.pdf.

2. Use Desmos to graph the functions of the Library of Functions. (Functions a. to g.). Determine domain and range of each function. Graph the functions by restricting their domain to the interval (0,2)

3. Consider the transformations for each function in the library. Analyze the effect of varying the values of each of the parameters. Report your results for each function and share them with your teammates.

4. Draw general conclusions about the effect produced by the variation of each of the parameters.

5. Make a drawing where you use all the functions of the Library of Functions (or transformations of them).