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https://math.libretexts.org › Courses › Monroe_Community_College › MTH_165_College_Algebra...

3.9e: Exercises - Rational Functions - Mathematics LibreTexts

1. What is the fundamental difference in the algebraic representation of a polynomial function and a rational function? 2. What is the fundamental difference in the graphs of polynomial functions and rational functions? 3. If the graph of a rational function has a removable discontinuity, what must be true of the functional rule? 4. Can a graph ...

https://tutorial.math.lamar.edu › Problems › Alg › GraphRationalFcns.aspx

Algebra - Rational Functions (Practice Problems) - Pauls Online Math Notes

Here is a set of practice problems to accompany the Rational Functions section of the Common Graphs chapter of the notes for Paul Dawkins Algebra course at Lamar University.

https://math.libretexts.org › Bookshelves › Precalculus › Book:_Precalculus__An_Investigation...

3.7E: Rational Functions (Exercises) - Mathematics LibreTexts

Give a rational model of form \(m\left(x\right)=\dfrac{ax+b}{cx+d}\) relating the meter reading \(m(x)\) to how many feet \(x\) Oscar has gone into the room. b. How far must he go for the meter to reach 10? 100?

3.7E: Rational Functions (Exercises) - Mathematics LibreTexts

https://www.khanacademy.org › math › precalculus › x9e81a4f98389efdf:rational-functions

Rational functions - Khan Academy

Precalculus 10 units · 131 skills. Unit 1 Composite and inverse functions. Unit 2 Trigonometry. Unit 3 Complex numbers. Unit 4 Rational functions. Unit 5 Conic sections. Unit 6 Vectors. Unit 7 Matrices. Unit 8 Probability and combinatorics.

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RATIONAL FUNCTIONS - Hawker Maths

A rational function is basically a division of two polynomial functions. That is, it is a polynomial divided by another polynomial. In formal notation, a rational function would be symbolized like this: Where : ; and : ; are polynomial functions, and : ; cannot equal zero. Here is an example of a rational function:

https://www.symbolab.com › study-guides › precalcone › rational-functions.html

Study Guide - Rational Functions - Symbolab

A rational function is a function that can be written as the quotient of two polynomial functions. Many real-world problems require us to find the ratio of two polynomial functions. Problems involving rates and concentrations often involve rational functions.

Study Guide - Rational Functions - Symbolab

https://www.ms.uky.edu › ma109 › fall_2016 › activities › 12_rational_worksheet_solution.pdf

11.1 Rational Functions Practice Problems - University of Kentucky

11.1 Rational Functions Practice Problems 1. Describe the horizontal asymptotes of the following rational functions. (a) f(x) = 3x−1 2−5x y = − 3 5 (b) h(x) = x+7 x2 −6x+8 y = 0 (c) l(x) = x2 −6x+8 x+ 7 No horizontal asymptote (d) n(x) = 7x2 −3x+2x3 +6 4x−x2 −2−5x3 y = − 2 5 (e) o(x) = (2x+5)4(6−x)3 (3x−1)(x−2)6 y ...

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5.6 Rational Functions - College Algebra 2e - OpenStax

A rational function is a function that can be written as the quotient of two polynomial functions. Many real-world problems require us to find the ratio of two polynomial functions. Problems involving rates and concentrations often involve rational functions.

https://louis.pressbooks.pub › collegealgebra › chapter › 5-6-rational-functions

5.6 Rational Functions – College Algebra

In this section, you will: Use arrow notation. Solve applied problems involving rational functions. Find the domains of rational functions. Identify vertical asymptotes. Identify horizontal asymptotes. Graph rational functions. Suppose we know that the cost of making a product is dependent on the number of items, x, produced.

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5.7: Rational Functions - Mathematics LibreTexts

A rational function is a function that can be written as the quotient of two polynomial functions. Many real-world problems require us to find the ratio of two polynomial functions. Problems involving rates and concentrations often involve rational functions.

5.7: Rational Functions - Mathematics LibreTexts