You must complete the project in a group of two students. Normally, all members of the group will receive the same grade; however, the instructor reserves the right to conduct individual interviews over the content of the project and to assign different grades to different members of the group.
Graphing functions is extremely important for successfully completing calculus I. More importantly,
knowing the shapes of the graphs of functions will be helpful in calculus I.
In this project, you will learn the
Plot function of mathematica and its arguments and you
will make some conclusions from your work on this project.
You will be graded on the quality and clarity of your written
presentation as well as the mathematical accuracy of your paper.
To label your work, use comments. For example, use the following to start your project (after every line, use SHIFT-ENTER to execute):
(* Your Name *)
(* Partner's Name *)
(* Math2431-100 *)
(* Summer 2012 *)
(* Project 2 *)
There are two required arguments for the
Plot function: 1. the expression of the function and 2. the interval on which you want the graph.
Example: Graph f(x) = x2 – 5x – 2 on [–10, 10]
Alternatively, you can store x2 – 5x – 2 into f(x):
f[x_] := x^2-5x-2
To zoom in or out, simply change the interval as needed:
Alternatively, use the additional
Graph the following functions using mathematica and describe their shape, asymptotes (if any), domain (in interval notation), and range (in interval notation). 0.4 points each. Zoom in/out where necessary:
Please follow these guidelines when preparing your report: