define and plot the function p(x) = |x^2-5x+6| over the interval [1,4]. next redefine the dq using the new function, p(x). in matlab

In MATLAB, you can define and plot the function p(x) = |x^2-5x+6| over the interval [1,4] by following these steps:

1. Define the function p(x):

main.m
function y = p(x)
    y = abs(x.^2 - 5*x + 6);
end
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2. Create a vector of x-values within the interval [1,4]:

main.m
x = linspace(1, 4, 100);
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3. Evaluate the function at each x-value:

main.m
y = p(x);
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4. Plot the function using the plot function:

main.m
plot(x, y)
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5. Add labels and title to the plot for clarity:

main.m
xlabel('x')
ylabel('p(x)')
title('Plot of p(x) = |x^2-5x+6| over the interval [1,4]')
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Putting it all together, the code to define and plot the function p(x) in MATLAB is:

main.m
function y = p(x)
    y = abs(x.^2 - 5*x + 6);
end

x = linspace(1, 4, 100);
y = p(x);

plot(x, y)
xlabel('x')
ylabel('p(x)')
title('Plot of p(x) = |x^2-5x+6| over the interval [1,4]')
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After plotting the function p(x), you can redefine the dq using the new function p(x) in MATLAB by substituting p(x) in the relevant part of your code.