help using fzero to find the intersection

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Ziad Badreldeen
Ziad Badreldeen on 29 May 2020
Answered: Star Strider on 29 May 2020
i basically want to use fzero in order to find the coordinates of intersection between 2 graphs plotted together on the same figure can someone please explain how this is carried out

Answers (2)

KSSV
KSSV on 29 May 2020
  2 Comments
Ziad Badreldeen
Ziad Badreldeen on 29 May 2020
the question requires we use the fzero function for the problem
KSSV
KSSV on 29 May 2020
so attach your data..to find out whether fzero helps.

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Star Strider
Star Strider on 29 May 2020
At the intersections, the difference between the functions is 0, and since fzero is a root-finding algorithm, choose and appropriate starting poiint and use it to find the intersections:
f = @(x) x.^2 - 2;
g = @(x) sin(2*pi*x/10);
for k = 1:2
xint(k) = fzero(@(x)f(x)-g(x), 5*(-1)^k); % Calculate ‘x’ At The Intersections
end
x = linspace(-2, 2);
figure
plot(x, f(x), x, g(x))
hold on
plot(xint, f(xint), 'gp') % Choose Either Function To Plot The Intersections
hold off
grid
Also, see the documentation on Anonymous Functions to understand how this code works.

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