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

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

Step 1: Define the function p(x) = |x^2-5x+6| using the abs function in MATLAB.

main.m
syms x
p = abs(x^2 - 5*x + 6);
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Step 2: Define the range of x values over the interval [1,4].

main.m
x = linspace(1, 4, 100); % Generate 100 equally spaced values between 1 and 4
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Step 3: Evaluate the function p(x) for the given range of x values.

main.m
y = subs(p, x);
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Step 4: Plot the function p(x).

main.m
plot(x, y)
title('Graph of p(x) = |x^2-5x+6|')
xlabel('x')
ylabel('p(x)')
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When you run the MATLAB code provided above, you will get a plot of the function p(x) = |x^2-5x+6| over the interval [1,4].