How to improve plot

I have ran logistic regression using gradient descent and obtained values for my cost function. Since I ran 100000 iterations, it computed 100000 values for my cost function which I am trying to plot against the number of iterations ran. I have plotted using the following code:

plot(1:length(cost),cost,'r.')

This resulted in the following plot:

Is there any better way to plot this, so that the minimisation can be better seen converging to a final value? Since there are 100000 data points for the x axis, MATLAB squeezes them all in to fit a smaller scale. Would there be any better way to modify this to present the information better?

Answer 1

[Voss]

semilogy comes to mind.