CA_GPS_37

# CA_GPS_37 - b mx y =(check the end behavior of x R as"...

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Rev. S08 http://faculty.valenciacc.edu/ashaw/ COLLEGE ALGEBRA NAME: ________________________________ GPS # 37 4.5 RATIONAL FUNCTIONS AND RATIONAL EQUATIONS Class Time: ____________ Date: __________ Useful Guidelines: Rational function ) ( ) ( ) ( x q x p x R = , 0 ) ( ! x q . Domain:= } 0 ) ( | { ! x q x . Check that ) ( x R in lowest terms is proper . (If the highest degree of ) ( x p is less than the highest degree of ) ( x q , then ) ( x R is proper .) * Vertical Asymptote: r x = (let 0 ) ( = x q and solve for x .) * Horizontal Asymptote: a y = (check the end behavior of ) ( x R as ! " x and !" # x .) * Slant/Oblique Asymptote:
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Unformatted text preview: b mx y + = (check the end behavior of ) ( x R as ! " x and !" # x .) Graph and find the domain of each rational function. Find horizontal and vertical asymptotes. 1. a) 2 1 ) ( 2 + = x x f b) 2 ) 1 ( 1 ) ( 2 + ! = x x f Find the domain of each rational function. Find any horizontal, vertical, or slant/oblique asymptotes. 2. a) 25 4 ) ( 2 ! + = x x x f b) 4 8 ) ( ! + = x x x f 3. a) 3 2 5 4 ) ( 2 2 ! + + = x x x x f b) 5 3 ) ( 2 + + ! = x x x f...
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