How to plot successive (positive) powers of x in MATLAB?

Question:

How to plot successive (positive) powers of \(x\) in MATLAB?

Answer:

The successive plots of \(x\) can be done by following the steps below:

Create and anaonymous function of \(x\).

Create an array of positive numbers \(n\) from \(1\) to \(10\).

Plot anonymous function in using MATLAB built-in command "fplot".

As for every \(n\) in the array, graphs are generated. Legends on graph plot can be shown using string and \( \LaTeX \) interpreter.

Define the bounds of graph plot in x-axis and y-axis using MATLAB built-in commands "xlim" and "ylim"

clear all; clc;close all;
n = 1:10;
figure(1);
f = @(x) x.^n;
fplot(f);
hold on;
legend("$x^{"+n+"}$", 'interpreter','latex','Location','Best')
xlim([-10 10])
ylim([-100 100])
grid on;

OUTPUT