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有理函数(续)

什么是有理函数?

1. Applications of rational functions

Applications of rational functions

2. Summary

Summary

3. Cylinder surface area as a rational function

A closed cylinder holds 20 cubic feet. Why is the material needed a rational function of its radius?

4. Box surface area in one variable

An open box has base 2x by x and volume 15, so h = 15/(2x^2) and S(x) = 2x^2 + 45/x. What is S when x = 3?

5. Cheapest can by inspection

For S(x) = 2x^2 + 45/x, roughly where does the least material usage occur?

6. Domain and asymptote of a rational function

For f(x) = (17x^2 + 34)/(19x^2 - 76), what are the domain and horizontal asymptote?

7. A rational function is undefined at its denominator's zeros

A rational function's domain excludes every input that makes its denominator zero.

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