Test Bank for
x x
CalculusxEarlyxTranscendentals,x12thxEditionxHowardxAnton,xIrlxC.xBivens,xStephenxDavis
Chapterx1-15
Chapterx1 LimitsxandxContinuity
1.1 Limitsx(AnxIntuitivexApproach)
1) xThexfunctionx x fx(x)xisxshownxinxthexgraph:
Find =
A) 2
B) -3
C) 3
D) -2
E) 0
Answer:x x B
Diff:x1 Var:x1
Section:x x 1.1
1
,2) Approximatexthe
byxevaluatingx x fx(x)x=
atxxx=x4.5,x4.9,x4.99,x4.999,x5.5,x5.1,x5.01,xandx5.001.
A) 5
B) 2.5
C) 11
D) 10
E) 12
Answer:x x D
Diff:x2 Var:x1
Section:x x 1.1
3) Approximatexthex x byxevaluatingx x fx(x)x=x x atxappropriatexvaluesxofxx.
A) 1
B) 0
C) ∞
D) -∞
E) 10
Answer:x x C
Diff:x1 Var:x1
Section:x x 1.1
4) Approximatexthexlimitxbyxevaluatingx x fx(x)x=x x atxappropriatexvaluesxofxx. x =
A) 1
B) 11
C) -11
D) ∞
E) undefined
xAnswer:x B
Diff:x2 Var:x1
Section:x x 1.1
2
,5) Approximatexthexlimitxbyxevaluatingx x fx(x)x=x x atxappropriatexvaluesxofxx.x x =
A) 1
-
B)
6xC)x
D) ∞
E) undefined
xAnswer:x C
Diff:x2 Var:x1
Section:x x 1.1
6) Approximatexthexlimitxbyxevaluatingx x fx(x)x=x x atxappropriatexvaluesxofxx.
A)
B)
C)
D) 0
E) ∞xAnswe
r:x A
Diff:x2 Var:x1
Section:x x 1.1
7) Findxthexequationxofxthextangentxlinextoxthexgraphxofxyx=x3 x atx(-1,x-3).
A) yx=x15xx+x12
B) yx=x15x
C) yx=x12x
D) yx=x12xx+x15
E) yx=x5xx+x12
Answer:x x A
Diff:x3 Var:x1
Section:x x 1.1
3
, 8) Givenxthexfunctionx x fx(x)x=x ,xforxwhichxvaluexofxcxisx x and
A) cx=x-4
B) cx=x-16
C) cx=x0
D) cx=x4
E) cx=x16
Answer:x x D
Diff:x1 Var:x1
Section:x x 1.1
4
x x
CalculusxEarlyxTranscendentals,x12thxEditionxHowardxAnton,xIrlxC.xBivens,xStephenxDavis
Chapterx1-15
Chapterx1 LimitsxandxContinuity
1.1 Limitsx(AnxIntuitivexApproach)
1) xThexfunctionx x fx(x)xisxshownxinxthexgraph:
Find =
A) 2
B) -3
C) 3
D) -2
E) 0
Answer:x x B
Diff:x1 Var:x1
Section:x x 1.1
1
,2) Approximatexthe
byxevaluatingx x fx(x)x=
atxxx=x4.5,x4.9,x4.99,x4.999,x5.5,x5.1,x5.01,xandx5.001.
A) 5
B) 2.5
C) 11
D) 10
E) 12
Answer:x x D
Diff:x2 Var:x1
Section:x x 1.1
3) Approximatexthex x byxevaluatingx x fx(x)x=x x atxappropriatexvaluesxofxx.
A) 1
B) 0
C) ∞
D) -∞
E) 10
Answer:x x C
Diff:x1 Var:x1
Section:x x 1.1
4) Approximatexthexlimitxbyxevaluatingx x fx(x)x=x x atxappropriatexvaluesxofxx. x =
A) 1
B) 11
C) -11
D) ∞
E) undefined
xAnswer:x B
Diff:x2 Var:x1
Section:x x 1.1
2
,5) Approximatexthexlimitxbyxevaluatingx x fx(x)x=x x atxappropriatexvaluesxofxx.x x =
A) 1
-
B)
6xC)x
D) ∞
E) undefined
xAnswer:x C
Diff:x2 Var:x1
Section:x x 1.1
6) Approximatexthexlimitxbyxevaluatingx x fx(x)x=x x atxappropriatexvaluesxofxx.
A)
B)
C)
D) 0
E) ∞xAnswe
r:x A
Diff:x2 Var:x1
Section:x x 1.1
7) Findxthexequationxofxthextangentxlinextoxthexgraphxofxyx=x3 x atx(-1,x-3).
A) yx=x15xx+x12
B) yx=x15x
C) yx=x12x
D) yx=x12xx+x15
E) yx=x5xx+x12
Answer:x x A
Diff:x3 Var:x1
Section:x x 1.1
3
, 8) Givenxthexfunctionx x fx(x)x=x ,xforxwhichxvaluexofxcxisx x and
A) cx=x-4
B) cx=x-16
C) cx=x0
D) cx=x4
E) cx=x16
Answer:x x D
Diff:x1 Var:x1
Section:x x 1.1
4
