Plotting different datas on the same graph smoothly

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]

Answer 1

[Mehmed Saad]

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

Answer 2

[Karthi Ramachandran]

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

https://www.mathworks.com/matlabcentral/fileexchange/74197-lagrange-interpolation?s_tid=prof_contriblnk