Plotting DFT, figure not corresponding

I am plotting the real and imaginary parts of the base functions of DFT.

    N = 40;
        for k = (0:3)
        x = exp(-j*2*pi*(k/N)*[0:N-1])
        end
    figure
    plot (real(x), 'b')
    xlabel('Sample number')
    ylabel('Amplitude')
    hold on;
    plot (imag(x), 'r')
    hold on;
    legend('Real','Imaginary')
    

No issues there, but when it comes to the plot figure, I get:

At k = 0, shouldn't my cosine wave amplitudes be 1 and sine A at 0? Why the gap on the plot? I think the issue is that im multiplying by zero here: [0:N-1], but how do I go about fixing it in a most convinient way?

Edit: Got fixed, proper way is to define the x axis, like: plot ((0:N-1),real(x), 'b')

Answer 1

[KALYAN ACHARJYA]

"Ak k = 0, shouldnt my cosine wave amplitudes be 1 and sine A - 0? "

The shown graph for k=3 only

Because you are not storing x values for all iterations. So this results from the last k value which is 3. Use figure and plots functions within the loop to see three results windows for k=1 to 3.