Plotting different datas on the same graph smoothly

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I want to graph 3 functions (x,y1) (x,y2) (x,y3) smoothly on the same graph. How can I do that? It needs to be smooth. Here are my datas:
x = [1000, 2500, 5000, 7500, 10000, 25000, 50000, 75000, 100000, 250000, 500000, 750000, 1000000, 2500000, 5000000, 7500000, 10000000, 25000000, 50000000, 75000000, 100000000]
y1 = [1.1, 4.2, 9.5, 15.0, 20.0, 52.0, 109.0, 155.0, 208.0, 520.0, 1043.0, 1567.0, 2091.0, 5279.0, 10577.0, 15878.0, 21360.0, 56860.0, 120497.0, 194489.0, 272989.0]
y2 = [2.3, 13.0, 51.4, 3.0, 4.0, 5.0, 8.0, 12.0, 16.0, 39.0, 85.0, 138.0, 204.0, 779.0, 2442.0, 4944.0, 8381.0, 75829.0, 218749.0, 609079.0, 1130344.0]
y3 = [0.1, 0.3, 0.3, 1.0, 0.0, 1.0, 3.0, 5.0, 6.0, 14.0, 29.0, 37.0, 65.0, 147.0, 325.0, 407.0, 651.0, 3546.0, 4333.0, 5048.0, 10292.0]

Answers (2)

Mehmed Saad
Mehmed Saad on 19 Apr 2020
x = [1000, 2500, 5000, 7500, 10000, 25000, 50000, 75000, 100000, 250000, 500000, 750000, 1000000, 2500000, 5000000, 7500000, 10000000, 25000000, 50000000, 75000000, 100000000];
y1 = [1.1, 4.2, 9.5, 15.0, 20.0, 52.0, 109.0, 155.0, 208.0, 520.0, 1043.0, 1567.0, 2091.0, 5279.0, 10577.0, 15878.0, 21360.0, 56860.0, 120497.0, 194489.0, 272989.0];
y2 = [2.3, 13.0, 51.4, 3.0, 4.0, 5.0, 8.0, 12.0, 16.0, 39.0, 85.0, 138.0, 204.0, 779.0, 2442.0, 4944.0, 8381.0, 75829.0, 218749.0, 609079.0, 1130344.0];
y3 = [0.1, 0.3, 0.3, 1.0, 0.0, 1.0, 3.0, 5.0, 6.0, 14.0, 29.0, 37.0, 65.0, 147.0, 325.0, 407.0, 651.0, 3546.0, 4333.0, 5048.0, 10292.0];
figure,plot(x,y1);
hold on,plot(x,y2);
hold on,plot(x,y3);
as you can see it is not smooth interpolate the data in order to make it smooth
xn =1000:1000:100000000;
y1_smooth = interp1(x,y1,xn,'pchip');
y2_smooth = interp1(x,y2,xn,'pchip');
y3_smooth = interp1(x,y3,xn,'pchip');
figure,plot(xn,y1_smooth);
hold on,plot(xn,y2_smooth);
hold on,plot(xn,y3_smooth);
Change interpolation method for good results

Karthi Ramachandran
Karthi Ramachandran on 19 Apr 2020
What do you mean by smooth? If you want the data points to be connected
here it is .
x = [1000, 2500, 5000, 7500, 10000, 25000, 50000, 75000, 100000, 250000, 500000, 750000, 1000000, 2500000, 5000000, 7500000, 10000000, 25000000, 50000000, 75000000, 100000000];
y1 = [1.1, 4.2, 9.5, 15.0, 20.0, 52.0, 109.0, 155.0, 208.0, 520.0, 1043.0, 1567.0, 2091.0, 5279.0, 10577.0, 15878.0, 21360.0, 56860.0, 120497.0, 194489.0, 272989.0];
y2 = [2.3, 13.0, 51.4, 3.0, 4.0, 5.0, 8.0, 12.0, 16.0, 39.0, 85.0, 138.0, 204.0, 779.0, 2442.0, 4944.0, 8381.0, 75829.0, 218749.0, 609079.0, 1130344.0];
y3 = [0.1, 0.3, 0.3, 1.0, 0.0, 1.0, 3.0, 5.0, 6.0, 14.0, 29.0, 37.0, 65.0, 147.0, 325.0, 407.0, 651.0, 3546.0, 4333.0, 5048.0, 10292.0];
plot(x,y1,x,y2,x,y3)
Else if you dont want the edges(kind of discontinuities) , use interpolation one example is lagrange interpolation , see below file exchange , try it with x and y values

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