# How to improve plot in MATLAB?

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Juliane Trianon on 12 Nov 2016
Answered: atharva aalok on 17 Oct 2021
I'm trying to plot the following functions on MATLAB:
function [] = testeh()
E = @(z) 0.23.*(1+z).^3+0.77
rhoc = @(z) E(z).*(2.775.*10.^(11))
omegam = @(z) 0.23.*(1+z).^3./(E(z))
x = @(z) omegam(z) - 1
deltac = @(z) 177.65+82.*x(z)-39.*x(z).^2
rvir = @(M,z) (3.*M./(12.566.*rhoc(z).*deltac(z))).^(1/3)
c = @(M,z) (9./(1+z)).*(M./((1.23).*10.^(12))).^(-0.13)
rhos = @(M,z) (c(M,z)).^3.*(M./(12.566.*(rvir(M,z)).^(3))).*(1./(log(1+c(M,z))-(c(M,z))./(1+c(M,z))))
rho = @(M,z,r) rhos(M,z)./((c(M,z).*r./(rvir(M,z))).*(1+(c(M,z).*r./(rvir(M,z)))).^2)
rho1 = @(r) rho(10.^14,0,r)
rho2 = @(r) rho(10.^14,1,r)
rho3 = @(r) rho(10.^15,0,r)
rho4 = @(r) rho(10.^15,1,r)
hold on
ezplot(rho1, [10.^-2 10.^2])
ezplot(rho2, [10.^-2 10.^2])
ezplot(rho3, [10.^-2 10.^2])
ezplot(rho4, [10.^-2 10.^2])
set(gca, 'XScale', 'log')
set(gca, 'YScale', 'log')
ylim([10.^5 10.^17])
But I obtain the graph below, which seems to have a discontinuity on the first derivative. Is there a way to avoid this? I wish a smoother result.
%

Walter Roberson on 13 Nov 2016
If you want smoother results, do not use ezplot(). Instead, evaluate the function handles at specific locations and plot() the result against the locations.
If you have a sufficiently new version of MATLAB you could also consider using fplot() instead of ezplot(), and specify the MeshDensity option.

atharva aalok on 17 Oct 2021
Please refer the following Plotting Template:
The above is an easy to follow Beginner Friendly template.
The idea is to create Professional Standard Plots within seconds without a steep learning curve and with consistency.
It also offers a wide range of preset Color Codes (please refer the attached image for the Color Palatte)
Sample Plot:
Color Palatte: