Graph of Functions (MATLAB) PDF

The document describes how to plot several mathematical functions in Matlab. ```matlab x=linspace(-1,1); y=1./x.^3; plot (x,y) ``` This function creates a plot of $y = \frac{1}{x^3}$ for $x$ spanning from -1 to 1. The plot shows a vertical asymptote at $x=0$. ```matlab x=linspace(-1,1); y=1./x.^4;...

The document describes how to plot several mathematical functions in Matlab. ```matlab x=linspace(-1,1); y=1./x.^3; plot (x,y) ``` This function creates a plot of $y = \frac{1}{x^3}$ for $x$ spanning from -1 to 1. The plot shows a vertical asymptote at $x=0$. ```matlab x=linspace(-1,1); y=1./x.^4; plot(x,y) ``` This function create a plot of $y = \frac{1}{x^4}$ for $x$ spanning from -1 to 1. The plot shows a vertical asymptote at $x=0$ and is steeper than the previous plot. ```matlab x=linspace(-1,1); y=1./x.^5; plot(x,y) ``` This function creates a plot of $y = \frac{1}{x^5}$ for $x$ spanning from -1 to 1. The plot shows a vertical asymptote at $x=0$ and is steeper than the previous plots. ```matlab x=linspace(-1,1); y=sin(x); plot(x,y) ``` This function creates a plot of $y = sin(x)$ for $x$ spanning from -1 to 1. The plot shows a sinusoidal curve with a period of $2\pi$. ```matlab x=linspace(-10,10); y=x-exp(-x); plot(x,y) ``` This function creates a plot of $y = x-exp(-x)$ for $x$ spanning from -10 to 10. The plot shows a curve that approaches the line $y=x$ as $x$ increases. It also shows a horizontal asymptote at $y=-1$. ```matlab x=linspace(-1,1); y=x+sin(x); plot(x,y) ``` This function creates a plot of $y = x + sin(x)$ for $x$ spanning from -1 to 1. The plot shows a curve that is a combination of a straight line and a sinusoidal curve. ```matlab x=linspace(1,0); y=cos(x); plot(x,y) ``` This function creates a plot of $y = cos(x)$ for $x$ spanning from 1 to 0. The plot shows a curve that is a mirror image of the positive portion of the cosine curve. ```matlab x=linspace(-1,1); y=sin(1./x); plot(x,y) ``` This function creates a plot of $y = sin(\frac{1}{x})$ for $x$ spanning from -1 to 1. The plot shows a complex curve with an infinite number of oscillations as $x$ approaches 0. ```matlab x=0:1:10; y=log10(x); plot(x,y) ``` This function creates a plot of $y = log_{10}(x)$ for $x$ spanning from 0 to 10. The plot shows a logarithmic curve with a vertical asymptote at $x=0$.