Larson Calculus Ch01 Functions Graphs and Limits

1. Plot ithe ipoints i iin ithe iCartesian iplane. A) B) C) D) E) Ans: C 2. Find ithe idistance ibetween ithe ipoints i iand i . iRound iyour ianswer ito ithe inearest ihundredth. A) 25.00 B) 2.65 C) 5.00 D) 14.87 E) 4.58 Ans: C 3. Find ithe imidpoint iof ithe iline isegment ijoining ithe ipoints i iand i . iRound iyour ianswer ito ithe inearest ihundredth. A) B) C) D) E) none iof ithese ichoices Ans: B 4. Find ithe ilength iof ieach iside iof ithe iright itriangle ifrom ithe ifollowing ifigure. A) a i 15, ib i8, ic 17 B) a i 8, ib 15, ic 17 C) a i17, ib –8, ic 15 D) a 15, ib 8, ic –17 E) a 15, ib 15, ic 17 Ans: A 5. Find such ithat ithe idistance ibetween ithe ipoints i iand i iis i10. A) 13 ior –13 B) –3 ior 3 C) 13 ior –3 D) –11 ior 11 E) 15 ior –15 Ans: C 6. Assume ithat ithe inumber i(in imillions) iof ibasic icable itelevision isubscribers iin ithe iUnited iStates ifrom i1996 ithrough i2005 iis igiven iin ithe ifollowing itable. iUse ia igraphing iutility ito igraph ia iscatter iplot iof ithe igiven idata. iDescribe iany itrends ithat iappear iwithin ithe ilast ifour iyears. Year i 1996 1997 1998 1999 2000 2001 2002 2003 2004 2005 Subscribers 62.3 63.6 64.7 65.5 66.3 66.7 66.5 66.0 65.7 65.3 A) The inumber iof isubscribers iappears ito ibe iincreasing. B) The inumber iof isubscribers iappears ito ibe idecreasing. C) The inumber iof isubscribers iappears ito ibe ilinearly idecreasing. D) The inumber iof isubscribers iappears ito ibe idecreasing. E) The inumber iof isubscribers iappears ito ibe ilinearly iincreasing. Ans: B 7. Assume ithat ithe inumber i(in imillions) iof icellular itelephone isubscribers iin ithe iUnited iStates ifrom i1996 ithrough i2005 iis igiven iin ithe ifollowing itable. iUse ia igraphing iutility ito igraph ia iline iplot iof ithe igiven idata. iDescribe iany itrends ithat iappear iwithin ithe ilast ifour iyears. Year i 1996 1997 1998 1999 2000 2001 2002 2003 2004 2005 Subscribers 200.5 195.1 192.9 185.3 146.6 125.6 102.5 76.7 65.9 57.3 A) The inumber iof isubscribers iappears ito ibe idecreasing. B) The inumber iof isubscribers iappears ito ibe iincreasing. C) The inumber iof isubscribers iappears ito ibe iconstant. D) The inumber iof isubscribers iappears ito ibe idecreasing. E) The inumber iof isubscribers iappears ito ibe iincreasing ilinearly. Ans: A 8. Assume ithat ithe imedian isales iprices iof iexisting ione ifamily ihomes isold i(in ithousands iof idollars) iin ithe iUnited iStates ifrom i1990 ithrough i2005 iare ias igiven iin ithe ifollowing ifigure. iUse ithe ifollowing ifigure ito iestimate ithe ipercent iincrease iin ithe ivalue iof iexisting ione-family ihomes ifrom i1997 ito i1998. A) 0.021% B) 0.058% C) 2.06% D) 55.5% E) 5.8% Ans: E 9. Use ithe iMidpoint iFormula irepeatedly ito ifind ithe ithree ipoints ithat idivide ithe isegment ijoining i and i into ifour iequal iparts. A) B) C) D) E) Ans: B 10. The ired ifigure iis itranslated ito ia inew iposition iin ithe iplane ito iform ithe iblue ifigure. iFind ithe ivertices iof ithe itransformed ifigure ifrom ithe ifollowing igraph. i i(In icase iyour iexam iis iprinted iin iblack iand iwhite i- ithe ired ifigure ihas ione ivertex iat i(0,0)).