Student name: Bugs B u nny EPS 109, Fall 2008
Homework Assignment 1
Due date: Monday Sept 8, 2008, midnight
(1) 2D plotting: Make one 2D plot for 0
≤
x
≤
1 containing the following 6 functions
f(x) = x
g(x) = r x (1-x)
for r={0.5, 1.5, 2.5, 3.5, and 4}. Label the axes, choose very different line styles for each
curve, and add a legend for each curve. Please insert the resulting graph here as PNG
file. For what values of r do f(x) and g(x) intersect?
Now make a second plot where you show f(x) and g(g(x)) for the given set of r values.
Include the plot here as well. What is the highest number of points where both functions
interest, f(x)=g(g(x)) ? For which r value does this happen?
(2) Loops and if statements: Open the Matlab Help window and read the section
MATLAB
→
Getting started
→
Programming
→
Flow Control. Pay special attention to
loops and if statements.
Write a loop that prints all odd number less than 20. Cut and paste code here:
Modify the loop that it prints all those number expect 13. Cut and paste code here:
Search for the function “mod” in the Matlab help window and learn about it. Then write
a loop that prints all odd numbers less than 100 that are not divisible by 7. Cut and paste
code here:
(3) Things that are not perfect:
Look at the code below and try to predict what it will print
a=1
for i=1:64
a=2*a
b=(2*a+1) – (2*a)
end
Explain the different values that are printed for ”b”.
(continued on next page)
