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Laboratory 6: FUN with functions

LAST NAME, FIRST NAME

R00000000

ENGR 1330 Laboratory 6 - Homework

# Preamble script block to identify host, user, and kernel
import sys
! hostname
! whoami
print(sys.executable)
print(sys.version)
print(sys.version_info)

atomickitty
sensei
/opt/jupyterhub/bin/python3
3.8.10 (default, Jun  2 2021, 10:49:15) 
[GCC 9.4.0]
sys.version_info(major=3, minor=8, micro=10, releaselevel='final', serial=0)

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Exercise 1

Make a function that cubes its input:

$$ f(x) = x^3 $$

and test it for the following values of x:

• -1
• 0.0
• 1.0
• 2.0
• 3.0

def xcube(input_value):
    output_value = pow(input_value,3)
    return output_value

print(xcube(-1))

-1

print(xcube(0.0))

0.0

print(xcube(1.0))

1.0

print(xcube(2.0))

8.0

print(xcube(3.0))

27.0

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Exercise 2

Generate two lists:

1. x ranging from 0 to 9 in steps of 1
2. f(x) from your function in Exercise 1

Use the plotAline() function (below) to create a plot of

$$ y = x^3 $$

for x raging from 0 to 9 (inclusive) in steps of 1.

Label the plot and the plot axes.

A wrapper script is included below that needs completion to work and draw the plot.

def plotAline(list1,list2,strx,stry,strtitle): # plot list1 on x, list2 on y, xlabel, ylabel, title
    import matplotlib.pyplot # import the plotting library from matplotlib.pyplot
    matplotlib.pyplot.plot( list1, list2, color ='green', marker ='o', linestyle ='solid') # create a line chart, years on x-axis, gdp on y-axis
    matplotlib.pyplot.title(strtitle)# add a title
    matplotlib.pyplot.ylabel(stry)# add a label to the x and y-axes
    matplotlib.pyplot.xlabel(strx)
    matplotlib.pyplot.show() # display the plot
    return #null return

# wrapper script
x = [i for i in range(10)]  # define two lists 
y = [pow(i,3) for i in range(10)]
plotAline(x,y,"x"," x^3","Plot of y=x^3")

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Exercise 3

Modify the wrapper script for the plotAline() function to create a plot of $$ x = 16sin^3(t) $$ $$ y = 13cos(t) - 5cos(2t) - 2cos(3t) - cos(4t) $$ for t raging from [0,2$\Pi$] (inclusive).

Label the plot and the plot axes.

# wrapper script
import math
t = [(1/50)*math.pi*i for i in range(101)] # build parameter list
x = [16*pow(math.sin(t[i]),3) for i in range(101)]  # define two lists 
y = [13*math.cos(t[i])-5*math.cos(2*t[i])-2*math.cos(3*t[i])-math.cos(4*t[i]) for i in range(101)]
plotAline(x,y,"x"," y","I heart U")