Creating a MATLAB Plot with a varying variables?

Hey guys,

I have been asked by my organization to make a plot of the function y= x^m on MATLAB. I essentially have to use Matlab to plot the function f(x) = x^m for m = 1,2,3, and 4 on the same figure, as x runs from 1 to 2.

This is what I have so far:

clear all;
close all;

m= 1:1:4;
x=1:0.1:2;
y = x.^m;
xlabel ('value of x'); ylabel ( 'function value');
hold on plot(x,y);

However, when I execute the script, it returns the error "Matrix dimensions must match". Anyone know an alternative route?

Answer 1

[Walter Roberson]

y = bsxfun(@power, x.', m);

Answer 2

[Matt J]

    x=1:0.1:2;

    for m= 1:4;
      xy{1,m}=x;
      xy{2,m} = x.^m;
    end

     plot(xy{:});
     xlabel ('value of x'); 
     ylabel ('function value');

[Ikenna Okoye]

I wanted to do something similar, i have an equation for thrust,F_ava, that depends on two variables 'gamma' and 'ex' and has an outputed vector already, could do this to the code?:

for F_ava(1,:)
      xy{1,F_ava} = gamma;
      xy{2,F_ava} = ex;
      xy{3,F_ava} = ((m_dot.*v_e)+ (P_e-P).*(A_t.*ex));
end

     plot(xy{:});
     xlabel ('Altitude (km)'); 
     ylabel ('Thrust (N)');