Thread: How to plot a 2 variable piecewise function in Mathematica

Hello I want to plot a sequence of functions (actually just the first few n, say for n=1,2,3).

Given an arbitrary function say a parabloid , how can a plot the first few values of the sequence defined below?



Something like a countour plot would be perfect if a 3d is hard to do.

Use the If command in Mathematica: If[condition, output if true, output if false]. Hint, though: Mathematica doesn't understand , so you have to either use nested If statements, or use logical connectives (&&, I think) to get both conditions correct.

the is just different values of the function on different intervals. so maybe multiple if statements are needed, or maybe a for loop. I've never written mathematica code before. but i'll try it out, thanks, some help on getting started would be appreciated. I'm not sure on how to define a function using an if statement.

i'm only used to seeing, g(x_, y_):=5-(x^2 + y^2) type definitions.