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Chapter 4 69

# Chapter 4 69 - SECTION 4.5 SUMMARY OF CURVE SKETCHING:1 331...

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Unformatted text preview: SECTION 4.5 SUMMARY OF CURVE SKETCHING :1 331 4m3—212+5 . . =————. Lon leISIOU ivesus: 57y 2\$2+x—3 g g 233—2 2\$2+\$—-34x3—2\$2 +5 4m3+2\$2—6w f4m2+6m+5 —4\$2—2:1:+6 8m~1 Ths if()_433372m2+5_2w_2 833—1 and u y— :1: 2332+m—3 _ 2m2+\$—3 E i f(x)—(2\$—2):§—28x_—13:——33—T—\$——3— [f0rm#0] HOasm—uwo.Sotheliney:2xi2is a: +mi 2+_7_2 a: :3 218A. 4 2 58. y : iii—3:233. Long division gives us: 5\$+ 5 mS—m2+25:c4 + 322+ m 5m4—5av3 +102: 5\$3+ m2— 9:1: 5m3~5w2 +10 6132~ 993—10 Thus =f(m)=m—5w+5+6m2—_gﬂg nd .11 m3—\$2+2 i m3—w2+2 a 2 6 9 10 6x ~9zc—10 _'—2__3 f(\$)_(5\$+5):m:L—H‘ [f0r\$#0] HOasx—eiooSotheliney=5m+5 1__ _ m+m3 isaSA. 59 —f()“——_2m2+5\$_1~ 2 1 1 1 1 .y‘ m — 2\$_1 ——:c+ +2m~1 A.D={rERIm7é§}=(Aoo,§)U(§.oo) B. y—intercept:f(0):1;x-intercepts:f(:c):0 => ~212+5x71:0 => 552%— "17 :> m m 0.22, 2.28. C. No symmetry D. lim : _ d 1' : = l - w—>(1/2)— f(a:) 00 an 2—»(11I?2)+ f(\$) 00. so :6 2 1s a VA. lim [f(:c)—(i;t+2)]: lim 1 z—>::oo z—bzzoo 21‘ — 1 :O,sotheliney:—a:+2isaSA. ...
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