#lab 1 further exercises #1 Plot the function f(x) = x^2 for values of x ranging between -5 and 5 plot(x^2, (x,-5,5))

#2 Plot the function f(x) = x^3 for values of x ranging between -5 and 5 plot(x^3, (-5,5))

#3. Overlay these plots. plot(x^2, (x,-5,5)) + plot(x^3, (-5,5))

#44. Complete the following interactive so that it plots the function f(x) = ax3 with a plotting range of 0 to 5, so a can vary from -10 to 10. @interact def foo(a=(-10,10)): p= plot(a*x^3,(x,0,5)) show(p)

Interact: please open in CoCalc

#5 @interact def expnt(n=(0,6)): p= plot(x^n, (x,-5,5), ymin=-5^4,ymax=5^4) show(p)

Interact: please open in CoCalc

#6 #@interact syntax that allows for interactive graphs #def expnt(n=(0,6)): defines exponnet as an adjustable variable ranging from 0 to 6 # p= plot(x^n, (x,-5,5), ymin=-5^4,ymax=5^4) makes variable p a plot for the graph x^n, with x values from -5 to 5, and y values from -5^4 to 5^4 # show(p) shows the intereactive graph #7. What does “calling a function” mean? What are arguments? #it means to use a function with the input you give. Arguments are the function inputs #8 When is it useful or necessary to assign a value to a variable? How do you do this? #it is useful to assign a value to a variable to keep track of data if you're reusing it and want to label it. you do this by using the = sign to assign a value to a varaible name #9 Briefly explain why it might be a good idea to use descriptive variable and function names in your code. #so you can easily distinguish and keep track of variables and functions so you know when to use them