Problem #$1$: For the function $f(x)=\frac{1}{x^2},$ find the US and LS in the interval $1,2$ for $n=100$

Let's first get the function defined, since it is not a function in the Matlab library.

$f=$ inline $\text{'})$

The dot before the operation symbols tells Matlab to generate a function that can be evaluated on arrays, in particular vectors.

Next, use the graphing capabilities of Matlab to graph this function on this interval $([1,2]).$ As you can see when you do so$,$ because our function is decreasing in any subinterval the maximum is always on the left end and the minimum in the right end.