Test Bank For Calculus Concepts: An Informal Approach to the Mathematics of Change
Chapter 1
1. Calculate the output value that corresponds to the given input values of the function.
s(t) = 3.3t + 8; t = 5, t = 10
A) s(5) = 24.5
s(10) = 41
B) s(5) = 5
s(10) = 10
C) s(5) = 41
s(10) = 24.5
D) s(5) = 19.8
s(10) = 36.3
E) s(5) = 24.5
s(10) = 36.3
Ans: A
Format: Multiple Choice
Algorithmic: Yes
Difficulty: Easy
Exercise Group: 11-18
Learning Objective: Calculate the output values
Section: 1.1
Similar to Exercise: 1.1.11
Type: Skill
2. Evaluate the function at the given values of the independent variables.
z = –4 x3 – 2 xy – 2 y 2 ; x = –4, y = 7
A) z = 214
B) z = –106
C) z = 166
D) z = 144
E) z = –374
Ans: A
Format: Multiple Choice
Algorithmic: Yes
Difficulty: Easy
Exercise Group: 11-18
Learning Objective: Evaluate a multivariable function
Section: 1.1
Similar to Exercise: 1.1.13
Type: Skill
1
,Test Bank For Calculus Concepts: An Informal Approach to the Mathematics of Change
Chapter 1
3. 54
Find the input of the function f (t ) = –2.5t
corresponding to the output f (t ) = 3
2e +1
to three decimal places.
A) t = –0.856
B) t = 53.940
C) t = –1.879
D) t = 2.140
E) t = 0.256
Ans: A
Format: Multiple Choice
Algorithmic: Yes
Difficulty: Medium
Exercise Group: 19-26
Learning Objective: Calculate input values
Section: 1.1
Similar to Exercise: 1.1.22
Type: Skill
4. Given f ( x ) = e3x − 3, evaluate f ( −2) . Round to the nearest ten-thousandth.
A) 426.75
B) 400.429
C) 406.429
D) − 2.9975
Ans: D
Format: Multiple Choice
Algorithmic: No
Difficulty: Easy
Exercise Group: 27-34
Learning Objective: Evaluate a function
Section: 1.1
Similar to Exercise: 1.1.29
Type: Skill
2
,Test Bank For Calculus Concepts: An Informal Approach to the Mathematics of Change
Chapter 1
5. Find the input of the function f ( x) = 5x +9 corresponding to the output f ( x) = –21.
A) x = –2
B) x = –6
C) x = –13
D) x = –150
E) x = –96
Ans: B
Format: Multiple Choice
Algorithmic: Yes
Difficulty: Medium
Exercise Group: 27-34
Learning Objective: Calculate input values
Section: 1.1
Similar to Exercise: 1.1.32
Type: Skill
6. The percentage of mothers in a large city who gave birth to a child in 2005 and returned
to the workforce within x months of having the child is modeled as
w ( x ) = 25.95 + 10.17 ln x percent
What percentage of mothers returned to the workforce within the first year after giving
birth?
Round to the nearest thousandth.
A) 51.222%
B) 28.435%
C) 36.925%
D) 38.980%
E) 25.272%
Ans: A
Format: Multiple Choice
Algorithmic: Yes
Difficulty: Medium
Exercise Group: 42
Learning Objective: Calculate percentage
Section: 1.1
Similar to Exercise: 1.1.42
Type: Application
3
, Test Bank For Calculus Concepts: An Informal Approach to the Mathematics of Change
Chapter 1
7. For the given function write limit notation for the end behavior.
y ( x ) = 6.5x
A) lim y ( x ) = 0
x→−
lim y ( x ) =
x →
B) lim y ( x ) =
x →−
lim y ( x ) = 0
x →
C) lim y ( x ) = 0
x→−
lim y ( x ) = 6.5
x →
D) lim y ( x ) = 6.5
x →0
lim y ( x ) =
x →
E) lim y ( x ) = −
x→−
lim y ( x ) = 6.5
x →0
Ans: A
Format: Multiple Choice
Algorithmic: Yes
Difficulty: Medium
Exercise Group: 11-18
Learning Objective: Limits and end behavior
Section: 1.2
Similar to Exercise: 1.2.11b
Type: Skill
4
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