Plotting graphs with setting my own scales

I plotted these nonlinear functions

fplot (@ (x)x^2 -2) 
hold on
fplot (@(x) sqrt(x+2)) 
hold on
fplot (@(x) (x^2 + 2)/(2*x-1) ) 
hold on
fplot (@(x) (x^2 + 2)/(2*x-1) )
hold on
fplot (@(x) 1*x ) 
hold off
grid on

I donot like MATLAB's build in scaling. I want the scales to be something like 2cm to 1 unit on both axes so that the plot will look exactly like this:

Can anyone please help me out? Thanks.

Answer 1

[the cyclist]

figure
hold on
fplot (@ (x)x.^2 -2) 
fplot (@(x) sqrt(x+2)) 
fplot (@(x) (x.^2 + 2)./(2*x-1) ) 
fplot (@(x) (x.^2 + 2)./(2*x-1) )
fplot (@(x) 1*x ) 
grid on

xlim([0 3.2])
ylim([0 3.2])
axis square

This is not quite exactly the same, but it's a lot closer. Good enough?

Note that you also had some matrix multiplication and division in your function definitions, which I assume was not intended. Take note of the changes I made.

[the cyclist]

FYI, this documentation describes the difference between matrix and array operations.

[Hmm!]

Why is there a dash-dash vertical line at ? My plot also has two of these lines at

[the cyclist]

As described in the this documentation, fplot will display the asymptote of some functions. You can turn this behavior on or off with the 'showpoles' input:

figure
fplot (@(x) (x.^2 + 2)./(2*x-1), 'showpoles','on' )

figure
fplot (@(x) (x.^2 + 2)./(2*x-1), 'showpoles','off' )