Test Bank all Chapters

Calculus for Business, Economics, and the Social and Life Science Brief Edition 11e Laurence Hoffmann, Gerald Bradley

(Test Bank all Chapters)

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Page 1 Chapter 1

• Compute the indicated value of the given function.

2

• ) 2

f x x x= − ; f (–1)

Ans: 3

Difficulty: easy Section: 1.1

• Compute the indicated value of the given function.

2

• ) 5 3f x x= − ; f (–1)

Ans: 2

Difficulty: easy Section: 1.1

• Compute the indicated values of the given function.

f (x) = x – 3 + | x – 5| ; f (–4), f (–3), f (–2).

A) 8, 8, 8 B) –2, –2, –2 C) –6, –4, –2 D) 2, 2, 2

Ans: D Difficulty: easy Section: 1.1

• Compute the indicated value of the given function.

f (x) = | x – 3 | + x – 5; f (2)

A) –4 B) 2 C) –2 D) 1

Ans: C Difficulty: moderate Section: 1.1

• Compute the indicated value of the given function.

f (x) = | x + 2 | + 3| x – 1 |; f (–3)

A) 13 B) –133 C) 9 D) 23

Ans: A Difficulty: moderate Section: 1.1

• Compute the indicated value of the given function.

2 –3 5 if 1

• )
• if 1

t t f t t t

• < −

=

+ ≥ −

; f (–3)

A) 14 B) –4 C) 15 D) –3

Ans: A Difficulty: easy Section: 1.1

• Compute the indicated value of the given function.

2

• if 1
• ) 3 if 1
• 5 if 1

x x f x x x x − < 

= =

 − >  ; f (2)

Ans: –8

Difficulty: moderate Section: 1.1

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Chapter 1 Page 2

• Compute the indicated value of the given function.

2

• if 1
• ) 4 if 1
• 8 if 1

x x f x x x x − < 

= =

 − >  ; f (2)

Ans: –9

Difficulty: moderate Section: 1.1

• Determine the domain of the given function.

2 25

• )

2 x f x x − = +

• all real numbers x
• all real numbers x except x = –2
• all real numbers x except x = 5 and x = 8
• all real numbers x except x = 5, x = –5, and x = –2

Ans: B Difficulty: easy Section: 1.1

• Determine the domain of the given function.

• 3
• ) 2 3 1f x x x x= + + +
• all real numbers x C) all real numbers x except x = –1
• all real numbers x except x = 1 D) all real numbers x except x = 0

Ans: A Difficulty: easy Section: 1.1

• Determine the domain of the given function.

• 3
• ) 5 4 1f x x x x= + + +

Ans: all real numbers x

Difficulty: easy Section: 1.1

• Determine the domain of the given function.
• ) 2 3f x x= −

Ans: All real numbers x for which

3 2 x≥ Difficulty: moderate Section: 1.1

• Determine the domain of the given function.
• ) 3f x x= −
• all real numbers x C) all real numbers x for which 3x≥
• all real numbers x except x = 3 D) all real numbers x for which 3x≥ −

Ans: C Difficulty: hard Section: 1.1

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Chapter 1 Page 3

• Determine the domain of the given function.

2 1

• )

3 t f t t − = −

Ans: All real numbers t for which t ≥ 1 or t ≤ –1 except t = 3

Difficulty: hard Section: 1.1

• Determine the domain of the given function.

2 4

• )

6 t f t t − = −

Ans: All real numbers t for which t ≥ 2 or t ≤ –2 except t = 6 .

Difficulty: hard Section: 1.1

• Find the composite function

()( )f g x.

3

• ) 2f u u= +, g(x) = x + 3
• f (g(x)) =

3 5x+ C) f (g(x)) =

• 2
• 27 27x x x+ + +
• f (g(x)) =

3 6x+ D) f (g(x)) = 3 5x x+ + Ans: C Difficulty: easy Section: 1.1

• Find the composite function()( )f g x.

1

• )f u u

u = −, g(x) = 2x – 3

Ans: f (g(x)) =

2

4 12 8

• 3

x x x

− + −

−

Difficulty: easy Section: 1.1

• Find the composite function()( )f g x.

1

• )f u

u =, () 3g x x= +

• f (g(x)) =

1 3 x

• f (g(x)) =

3 1 x +

• f (g(x)) =

1 3x x

• + D) f (g(x)) =

1 3x+

Ans: D Difficulty: easy Section: 1.1

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