Essential Calculus: Early Transcendentals 2nd Edition Test Bank

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Stewart_Essential Calc_2ET ch01sec01MULTIPLE CHOICE1.The graph of the functionis given. State the value of.a.b.c.d.e.ANS:EPTS:1DIF:MediumREF:1.1.3bMSC:BimodalNOT:Section 1.12.The graphs ofandare given. For what values ofx is?a.4, 2

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b.c.0d.e.–4, 12ANS:EPTS:1DIF:MediumREF:1.1.4bMSC:BimodalNOT:Section 1.13.The graph shown gives the weight of a certain person as a function of age. Find the age atwhich the person started an exercise program.a.35b.38c.20d.54e.ANS:EPTS:1DIF:MediumREF:1.1.9MSC:BimodalNOT:Section 1.14.If, find and simplify, where.a.b.c.d.ANS:APTS:1DIF:EasyREF:1.1.21MSC:BimodalNOT:Section 1.15.If, evaluate the difference quotient.a.hb.c.d.e.none of theseANS:EPTS:1DIF:MediumREF:1.1.22MSC:BimodalNOT:Section 1.1

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6.Find the domain of the function.a.(–, 0)(0,)b.(–, 0)c.d.ANS:APTS:1DIF:EasyREF:1.1.25MSC:BimodalNOT:Section 1.17.Find the domain and sketch the graph of the function. What is its range?f(x) =a.D: (–,);R: [0,)12345678910x12345678910yc.D: (–,);R: (–, 3]12345678–1–2x123456789–1yb.D: (–,);R: (–, 0](3,)d.D: (–,);R: [–1,)

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123456789–1x1234–1–2–3–4–5–6y12345678–1–2x123456789–1yANS:CPTS:1DIF:MediumREF:1.1.39MSC:BimodalNOT:Section 1.18.Find an expression for the functionwhose graph is the bottom half of the parabola.a.b.c.d.e.ANS:CPTS:1DIF:MediumREF:1.1.45MSC:BimodalNOT:Section 1.19.A rectangle has perimeterm. Express the area of the rectangle as a functionof thelengthof one of its sides.a.b.c.d.e.ANS:EPTS:1DIF:MediumREF:1.1.47MSC:BimodalNOT:Section 1.110.An open rectangular box with volumehas a square base. Express the surface area ofthe box as a functionof the lengthof a side of the base.

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a.b.c.d.e.ANS:DPTS:1DIF:MediumREF:1.1.51MSC:BimodalNOT:Section 1.111.Determine whether the function whose graph is givenis even, odd, or neither.246810–2–4–6–8–10x246810–2–4–6–8–10ya.Evenb.Neitherc.OddANS:APTS:1DIF:MediumREF:1.1.55MSC:BimodalNOT:Section 1.112.If the pointis on the graph of an even function, what other point must also be on thegraph?a.b.c.d.e.None of these

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ANS:APTS:1DIF:MediumREF:1.1.57aMSC:BimodalNOT:Section 1.113.Which of the following graphs is neither even nor odd?a.b.c.ANS:CPTS:1DIF:MediumREF:1.1.60MSC:BimodalNOT:Section 1.1NUMERIC RESPONSE1.The graphs ofandare given.Find the values ofand.ANS:,PTS:1DIF:MediumREF:1.1.4aMSC:Numerical ResponseNOT:Section 1.12.Find the domain of the function.ANS:PTS:1DIF:MediumREF:1.1.26

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MSC:Numerical ResponseNOT:Section 1.13.Find the domain of the function.ANS:PTS:1DIF:MediumREF:1.1.27MSC:Numerical ResponseNOT:Section 1.14.Determine whetherfis even, odd, or neither.ANS:evenPTS:1DIF:MediumREF:1.1.56MSC:Numerical ResponseNOT:Section 1.1SHORT ANSWER1.Refer to the graph of the functionfin the following figure.f =(x)12345678–1–2–3–4x12345–1–2–3–4–5ya.Findf(1).b.Find the value ofxfor which (i)and (ii).c.Find the domain and range off.ANS:a.0b.(i) 2 (ii) 1, 3c.D: [1, 4],R: [–3, 1]

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PTS:1DIF:EasyREF:1.1.3aMSC:Short AnswerNOT:Section 1.12.Iff(x) =findf(–4),f(0), andf(1).ANS:f(–4) = 19,f(0) = 3,f(1) = 1.PTS:1DIF:EasyREF:1.1.19MSC:Short AnswerNOT:Section 1.13.Determine whether the function is even, odd, or neither.ANS:OddPTS:1DIF:MediumREF:1.1.63MSC:Short AnswerNOT:Section 1.1

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Stewart_Essential Calc_2ET ch01sec02MULTIPLE CHOICE1.The relationship between the Fahrenheit and Celsius temperature scales is given by thelinear function.What is theF-intercept and what does it represent?a.0, Fahrenheit temperature corresponding tob., Fahrenheit temperature corresponding toc., Celsius temperature corresponding tod.32, Celsius temperature corresponding toe.32, Fahrenheit temperature corresponding toANS:EPTS:1DIF:MediumREF:1.2.9bMSC:BimodalNOT:Section 1.22.The monthly cost of driving a car depends on the number of miles driven. Julia found that inOctober it cost herto drivemi and in July it cost herto drivemi.Express the monthly costCas a function of the distance drivendassuming that a linearrelationship gives a suitable model.a.b.c.d.e.ANS:CPTS:1DIF:MediumREF:1.2.14aMSC:BimodalNOT:Section 1.23.Many physical quantities are connected byinverse square laws, that is, by power functionsof the form.In particular, the illumination of an object by a light source is inversely proportional to thesquare of the distance from the source. Suppose that after dark you are in a room with justone lamp and you are trying to read a book. The light is too dim and so you move

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the distance to the lamp. How much brighter is the light?a.timesb.timesc.9timesd.timese.timesANS:CPTS:1DIF:MediumREF:1.2.15MSC:BimodalNOT:Section 1.2NUMERIC RESPONSE1.The relationship between the Fahrenheit and Celsius temperature scales is given by thelinear function.Complete the table and find the slope.ANS:; slope =PTS:1DIF:MediumREF:1.2.9aMSC:Numerical ResponseNOT:Section 1.22.It makes sense that the larger the area of a region, the larger the number of species thatinhabit the region. Many ecologists have modeled the species-area relation with a powerfunction and, in particular, the number of speciesSof bats living in caves in central Mexicohas been related to the surface areaAmeasured inof the caves by the equation

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(a) The cave called mission impossible near puebla, mexico, has suface area of.How many species of bats would expect to find in that cave?(b) If you discover thatspecies of bats live in cave estimate the area of the cave.ANS:a)speciesb)PTS:1DIF:MediumREF:1.2.16MSC:Numerical ResponseNOT:Section 1.2

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Stewart_Essential Calc_2ET ch01sec03MULTIPLE CHOICE1.Use the graph of the function to state the value of, if it exists.a.b.c.d.does not existe.ANS:DPTS:1DIF:MediumREF:1.3.15MSC:BimodalNOT:Section 1.32.Use the graph of the function to state the value ofif it exists.a.b.c.d.1e.does not existANS:EPTS:1DIF:MediumREF:1.3.18MSC:BimodalNOT:Section 1.3

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3.Estimate the value of the following limit by graphing the function.Round your answer correct to two decimal places.a.b.c.d.3.18e.ANS:EPTS:1DIF:MediumREF:1.3.20aMSC:BimodalNOT:Section 1.3NUMERIC RESPONSE1.By graphing the functionand zooming in toward the point where the graph crosses they-axis, estimate the value ofANS:PTS:1DIF:MediumREF:1.3.19aMSC:Numerical ResponseNOT:Section 1.32.Evaluate the functionat the given numbers (correct to six decimal places). Use the results to guess the value of thelimit

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ANS:PTS:1DIF:MediumREF:1.3.21aMSC:Numerical ResponseNOT:Section 1.3SHORT ANSWER1.Complete the table by computingat the given values ofx, accurate to five decimalplaces. Use the results to guess at the indicated limit, if it exists, to three decimal places.xANS:x–0.34483–0.33445–0.33344–0.33322–0.33223–0.32258–0.333PTS:1DIF:MediumREF:1.3.11MSC:Short Answer

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NOT:Section 1.32.Complete the table by computingat the given values ofx, accurate to five decimalplaces. Use the results to guess at the indicated limit, if it exists, to three decimal places.x4.94.994.9995.0015.015.1ANS:x4.94.994.9995.0015.015.10.10010.100010.10.10.099990.09990.1PTS:1DIF:MediumREF:1.3.12MSC:Short AnswerNOT:Section 1.33.Complete the table by computingat the given values ofx, accurate to five decimalplaces. Use the results to guess at the indicated limit, if it exists, to three decimal places.ANS:0.208580.200080.20.20.200080.208580.2PTS:1DIF:MediumREF:1.3.13MSC:Short AnswerNOT:Section 1.3

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