find the maximum y-value of the following function: in matlab

To find the maximum y-value of a function in matlab, you can use the fminbnd function in MATLAB. This function finds the minimum of a function within a given range. Since we want to find the maximum y-value of the function, we can find the minimum of the negated function within a given range.

Here's an example of how to find the maximum y-value of a function in MATLAB:

main.m
% Define the function
f = @(x) -x.^2 + 3*x + 2;

% Define the range
xmin = -10;
xmax = 10;

% Find the maximum y-value
[y_max, x_max] = fminbnd(@(x) -f(x), xmin, xmax);

% Display the result
fprintf('Maximum y-value: %.2f\n', -y_max);
fprintf('Corresponding x-value: %.2f\n', x_max);
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In this example, the function f is defined as -x.^2 + 3*x + 2, and the range is defined as xmin = -10 and xmax = 10. The fminbnd function is then used to find the minimum of the negated function within the given range. The maximum y-value is obtained by negating the minimum value.

Note that this method assumes that the function is continuous within the given range. If the function is not continuous, you may need to specify multiple ranges or use a different method to find the maximum y-value.

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