Math 140 Christopher Newport University
Spring term 2007 Department of Mathematics
Dr. Khalili
MAPLE PROJECT 1
Deadline February 9, 2007.
1. Consider the function g(x) = x3−4xand G(x) = 2x2−3.
(a) Plot the graphs of these two functions together on the interval [-2 , 2].
(b) Find the points of intersection of the two graphs.
(c) How should you adjust the interval in (a) so that the graph shows the answer in part (b) ? Can
you answer (b) using (a)? Explain.
1. Consider the piecewise function
f(x) =
1−x2if x≤0;
2 + xif 0< x ≤1;
2+(x−2)2if x > 1
(a) Use “plot, discont= true ” command to graph the function.
(b) Use “limit” command to find the limit of the function at x= 0 and x= 1.
(c) Find the numbers at which f(x)is discontinuous.