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## College Algebra

by: Annamarie Kunze

40

0

1

# College Algebra MATH 1340

Annamarie Kunze
University of Texas-Pan American (UTPA)
GPA 3.82

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## Popular in Math

This 1 page Class Notes was uploaded by Annamarie Kunze on Thursday October 29, 2015. The Class Notes belongs to MATH 1340 at University of Texas-Pan American (UTPA) taught by Frances Alvarado in Fall. Since its upload, it has received 40 views. For similar materials see /class/231311/math-1340-university-of-texas-pan-american--utpa- in Math at University of Texas-Pan American (UTPA).

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Date Created: 10/29/15
What is a Rational Function and What is it39s Domain Written by Frances E M Alvarado March 19 2006 x P So what39s a Rational Function It is a Function written as fx where lel Px and Qx are Polynomial Functions So which of the following are Rational Functions Example 12 Which of the following are Rational Functions a x 4iii a x 4X3 x2 X2 x 4 4 b X LEL d x x2 Did you guess which ones were If not you may want to visit the Math 1334 section for their handouts on Rational Expressions and Equations Once we are able to recognize whether something is a Rational Function then we need to be able to find Domain Range Intercepts fany number and X when fX any number etc In other words everything we did with all the previous functions We start with how to find the Domain what value is or is not allowed for xquot As you may recall we are not allowed to divide by 0quot So that means our denominator or bottom polynomial 0 So the best way to find out what makes the denominator zero is to let the Denominator Oquot Solve and the tell the fractions NANI NANI BOO BOO you can39t have itquot This means the Domain is all real numbers except those that make the denominator zeroquot 2 So if you were given f X 39 what would be the Domain of this Function Well the only number that will make the denominator zero would be x 3quot So the Domain is All real numbers except x 3quot How did I find that so fast well simple I solved x 3 0quot Can you find the Domain Try the problems on the next page

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