Write a C program that will find the extrema (both high and low) for the function in part 1 across the closed interval (-1, 3):
Using Programming for Math: Finding Extrema
In-class exercise – 5 points
In calculus, there are techniques to find relative extremes for a function. A relative extreme is the highest value or the lowest value of a
function within a limited interval of inputs. Graphically, relative extrema are the highest and lowest y-coordinate values across a span of x-coordinate values.
We can use a computer program to find very close approximations of the exact extrema values by actually running the function many, many times with many, many values of x. That is, we can run
the function for x = 1 and see what value we get. Then run it again for x = 1.00001 and compare the result, noting the highest and lowest values obtained. Then run it again for x = 1.00002 and so on.
The illustration above is the graph of the function
f(x) = 2×3 – 8×2 + x + 16
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