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Rational Functions Homework With Solutions Pdf

Unit 3: Rational Functions

Day 1: Reciprocal Functions

Homework: pg. 254 #1, 2odd, 3, 5odd, 6odd, 7a, 8ac, 9c, 10, 12
mhf4u_reciprocalfunctions.doc
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mhf4u_reciprocalfunctions_soln.pdf
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Day 2: Graphing Rational Functions: Part 1

mhf4u_discontinuitiesofrationals.doc
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mhf4u_discontinuitiesofrationals.pdf
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Day 4: Solving Rational Equations

Hmwk: pg 285 #1, 2-7(ace), 9
mhf4u_solvingrationalequations.doc
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mhf4u_solvingrationalequations_soln.pdf
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Day 5: Solving Rational Inequalities

Homework: pg 295 #1a, 2ac, 3, 4-6(ac), 7, 8, 10, 11 (P = R - C), (13)
mhf4u_solvingrationalinequalities.doc
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mhf4u_solvingrationalinequalities_soln.pdf
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Day 6: Additional Practice Solving Rational  
            Equations and Inequalities

Homework: pg 285 # 2b, 3b, 5bd, 6bd, 7bd, pg 295 # 4bdf, 5bdf, (9)
mhf4u_morerationaleqnsinequalities.docx
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mhf4u_morerationaleqnsinequalities_soln.pdf
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Day 7: Rates of Change of Rational Functions

Homework: pg 303 # 1, 4,5ac, 6ac, 7, 10ab, (13)
mhf4u_rationals_rates.docx
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mhf4u_rationals_rates_soln.pdf
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Day 8/9: Unit Summary/Review

Homework: pg 308 #1b, 2, *3, 4, 5ab, 6, 7, 9, 10, 11, 12a, 13ab, 14, 15a
mhf_rationalfunctionssummary.doc
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mhf4u_rationalssummary_soln.pdf
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mhf4u_rationalsquiz.docx
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mhf4u_rationalsquiz_soln.pdf
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Unformatted text preview: Name Date Class Graphing More Complicated Rational Functions 3'2 Homework Identify all vertical asymptotes and holes of each rational function. Then state its domain. ,flfi x—1 22:2! >42: _2_ fl «,9 3 22 1- f(X)=m2 "‘ “@212?” 1 2““? 2- f(X)=WX2 3X+4 E: 7‘92 _3X +27 35 wéifi‘rafifi‘ffi x +2x—8 Vertical Asymptotes: 7 T; 5’2 7 7- “ 24‘ Vertical Asymptotes: 72 “S- Q Holes: 2% r2 Holes: 7 '3" ““ Hi Domain: :92 .14 3,. 2/293 ‘” 2 Domain: 24. $5” ”L3. 332 _ x+5 __ x2+ZX-3 4 (222%322,» 3' f(x) — x+1 4' foo W x2—4x+3 fad?!“ Vertical Asymptotes: 7 2 "‘2 Vertical Asymptotes: )4 ”3— 3 Holes: mm”: 23 Holes: 7 1 2 Domain: 7" “£273 Domain: ‘7; #4 22 3'2 Determine the end behavior of each rational function. X2 —4 5. f x = ( ) ~3X V2 53% . {3;} 9i ’2: 9:7 $302,222 92225222252323? 42 Asx—> —oo,f(x)—> ”{TQ’O Asx—a _Oo’f(x)_) 5 ASX—a +oo,f(x)-> ”QC? ASXH +oo,f(x)_) g 3x+1 7' f(x) — ”5‘2 8 f(x) (x— 2)(x+3) Asx—a ~oo,f(X)-> 3 Asx—a ——oo,f(x)..) 5:5 As x —> +oo, f(x) ~2 3 As x —> +00, 1‘00 -> W59 Name Date Class Identify the asymptotes, holes, and x-intercepts of each rational function. Then graph the function. 2 t , we ~x2 +1 M a Liz: 10. f(x)=2 ~ ,, I _, « a; x2 —3X+2 * x 3- Vertical Asymptotes: I; 225‘; E24 "‘ “‘ E1 Vertical Asymptotes: E“; 9 Horizontal Asymptotes: 3‘ 2 5?» Horizontal Asymptotes: 5;: Holes: ”Home Holes: 74 -~ l x—intercept(s): X: W 51 x—intercept(s): :: ml (x+1)(x— 1) x+2 -f(X)= Vertical Asymptotes: M...“ Vertical Asymptotes: % 2“ ”:5, )4“: c). HorIzontal Asymptotes; Horizontal Asymptotes: l “I; (:33 Holes: {Wit} :3; Holes: "flair: it“; if, X—intercept(s)' X—intercept(s): ”ii 7— if S \Qfl "‘3 2 EL ...
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