How to select specific points/intersections in a matlab plot?

I'm solving numerical analysis problems in which I need to find the the zeroes of certain equations with an error of less than 10^-2.

With the following code:

clc

format long

x = linspace(-1, 3, 1000);

y = ( abs( log(x + 1) ) -2 + x );

plot(x,y)

hold on

plot(x,0,'b')

I've managed to create two intersecting graphs as such:

https://gyazo.com/bd3cbe4d8cff18536df561cc36715fa8

What I want, though, is for Matlab to highlight the points where the y = 0 line intersects my original graph. That way I can know when to stop using the "successive bissections" method.

Answer 1

[madhan ravi]

idx=(abs(y)<1e-2);
          % ^^^^----- tolerance (10^-2)  
plot(x(idx),zeros(1,nnz(idx)),'sqb')

[bobsoney bobsoney]

I'm not allowed to use advanced commands I haven't been taught in class yet.

Thanks for the answer, but I'd like to know strictly how to intersect and hightlight the intersections of those graphs.

[madhan ravi]

x0 = fsolve(@(xx) abs( log(xx + 1) ) -2 + xx ,[-.99,3]); % solve for x when y = 0 
plot(x0,zeros(1,numel(x0)),'o','MarkerSize',10)