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Calculus Early Transcendentals, 13th Edition George B. Thomas Test Bank

Page 1

Type:

Test Bank

Resource:

Calculus Early Transcendentals

Edition:

13th Edition

Author(s):

George B. Thomas Maurice Weir Joel Hass


Exam Name___________________________________ MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Find the domain and range of the function. 1) f(x) = -6 A) D: (-∞, ∞), R: (-∞, ∞) B) D: (-∞, -6], R: (-∞, ∞) C) D: (-∞, ∞), R: (-∞, -6] D) D: (-∞, ∞), R: [-6, ∞) 2)

F(t) = - 10 A) D: (-∞, ∞), R: [-10,∞) C) D: [0, ∞), R: (-∞, -10]

2) _______ B) D: [-100,∞), R: [-10,∞) D) D: (-∞, ∞), R: (-∞, ∞) 3) _______

3) g(z) = 2 A) D: [0,∞), R: (-∞,2] C) D: (-∞,2], R: (-∞, ∞)

B) D: (-∞, ∞), R: (-∞,2] D) D: (-∞,0], R: [2,∞) 4) _______

4) f(x) = 5 + A) D: (-∞,0], R: (-∞,5] C) D: [0,∞), R: [5,∞)

1) _______

B) D: (-∞, ∞), R: [5,∞) D) D: [0,∞), R: (-∞, ∞) 5) _______

5) F(t) = A) D: (-∞,∞), R: (-∞,∞) C) D: [0,∞), R: (-∞,∞)

B) D: (0,∞), R: (0,∞) D) D: (-∞,0), R: (-∞,0) 6) _______

6) g(z) = A) D: [1,∞), R: (-∞,∞) C) D: [0,∞), R: (-∞,∞)

B) D: (-1,∞), R: (-∞,0) D) D: (-∞,-1), R: (0,∞) 7) _______

7) f(x) = A) D: (-∞,0], R:(-∞,0]

B) D: [0,∞), R: D) D: [0,∞), R: (-∞,∞)

C) D: (-∞,∞), R:

8) _______

8) F(t) = A) D: (0,∞), R: (0,∞) C) D: (-∞,0), R: (-∞,0) 9)

g(z) = A) D: [0,∞), R: (-∞,∞) C) D: (-2,2), R: (-2,2)

Determine whether or not the graph is a graph of a function of x. 10)

B) D: [0,∞), R: [0,∞) D) D: (-∞,∞), R: (-∞,∞) 9) _______ B) D: (-∞,∞), R: (0, 2) D) D: [-2,2], R: [0,2]


___ ___

10)

A) Function

B) Not a function 11) ______

11)

A) Not a function

B) Function 12) ______

12)

A) Function 13)

B) Not a function


___ ___

13)

A) Not a function

B) Function 14) ______

14)

A) Not a function

B) Function 15) ______

15)

A) Function

B) Not a function

Find the formula for the function. 16) Express the perimeter of a square as a function of the square's side length x. A) p = 4x B) C) p = 6x

16) ______ D)

p=

p= 17) Express the area of a square as a function of its side length x. A) B) A = 4x C) A= A= 18) Express the length d of a square's diagonal as a function of its side length x.

17) ______ D) A = 2x 18) ______


A) d = x

B) d = x

C) d = 2x

D) d = x

19) Express the perimeter of an isosceles triangle with side lengths x, 5x, and 5x as a function of the side length. A) B) p = 10x C) D) p = 11x p = 10 p = 25

19) ______

20) Express the area of a circle as a function of its radius r. A) B) A = 2πr C) A = πr A=π

20) ______

22)

π

V=

V=

D)

V=π

π

A point P in the first quadrant lies on the graph of the function f(x) = line joining P to the origin as a function of x. A) m = 2x B) C) m=

23)

π

A=π 21) ______

21) Express the volume of a sphere as a function of its radius r. A) B) C) V=

D)

. Express the slope of the

22) ______

D) m = x

m=

A point P in the fourth quadrant lies on the graph of the function f(x) = of the line joining P to the origin as a function of x. A) m = -2x B) m = x C) m = -x

. Express the slope

23) ______

D) m=

Find the domain and graph the function. 24) f(x) = -6x + 8

A) D: (-∞, ∞)

24) ______


B) D: (-∞, ∞)

C) D: [0, ∞)

25) g(x) = -7 + 2x - x2

A) D: (-∞, ∞)

D) D: (-∞, ∞)

25) ______


B)

C) D: (-∞, ∞)

26) F(x) =

A) D: (-∞, ∞)

D: (∞, 6]

D) D: (-∞, ∞)

26) ______


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