Pitfalls in Graphical Computation, or Why a Single Graph Isn't Enough

Demana, Franklin; Waits, Bert K.

doi:10.2307/2686185

Cited by 7 publications

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“…A student using a function plotter will notice the scaling problem that often occurs when a computer plots a function (see [2]). If one scales the y-axis to see more of the vertical asymptote at then one will have trouble seeing the unique minimum at and vice versa.…”

Section: Problem 3 Use a Function Plotter To Plot Some Examples Of (mentioning

confidence: 99%

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Graphs of Rational Functions for Computer Assisted Calculus

Byrd¹,

Walters²

1991

The College Mathematics Journal

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I n this capsule, we suggest some calculus problems whose solutions involve penciland-paper techniques and some form of computer assistance. These are problems that can be used as calculus laboratory projects. We expect the computer to act as a strong and convenient number-cruncher, but we expect the student to supply the conceptual framework. For some of the problems below, finding the proper scaling so that one can see the extrema is a bit difficult, but we feel that a student will profit from this trial-and-error experience. The main computational difficulty of these problems is approximating all the roots of a polynomial, so your computer package should have a reliable polynomial root finder. Assuming a, b, c, and d are positive real numbers, we determine the important properties of the graphs of the family of rational functions,

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Section: Problem 3 Use a Function Plotter To Plot Some Examples Of (mentioning

confidence: 99%

“…Problem 1. Graph the function (2) finding the asymptotes, monotonicity intervals, concavity intervals, extrema, and inflection points. (The assumption that a and b are positive insures that each graph has the same basic shape.…”

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confidence: 99%