Type:
Test Bank
Calculus Early Resource: Transcendentals, Single Variable Edition:
12th Edition
Author(s):
George B. Thomas Maurice D. 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) = 7 - x2 A) D: (- , 7], R: (- , ) C) D: (- , ), R: (- , )
B) D: (- , ), R: [7, ) D) D: (- , ), R: (- , 7]
2) F(t) = t2 + 1 A) D: [0, ), R: (- , 1] C) D: [-1, ), R: [1, )
B) D: (- , ), R: [1, ) D) D: (- , ), R: (- , )
3) g(z) = 1 - z A) D: (- ,1], R: (- , ) C) D: [0, ), R: (- ,1]
B) D: (- ,0], R: [1, ) D) D: (- , ), R: (- ,1]
4) f(x) = -7 + x A) D: (- ,0], R: (- ,-7] C) D: [0, ), R: [-7, ) 5) F(t) =
B) D: (- , ), R: [-7, ) D) D: [0, ), R: (- , )
6
A) D: (- ,0), R: (- ,0) C) D: [0, ), R: (- , ) -9 z+1
B) D: [0, ), R: (- , ) D) D: (-1, ), R: (- ,0) 7)
A) D: (- ,0], R:(- ,0]
8) F(t) =
4)
6)
8 3+ x
C) D: [0, ), R: 0,
3)
B) D: (0, ), R: (0, ) D) D: (- , ), R: (- , )
A) D: [1, ), R: (- , ) C) D: (- ,-1), R: (0, ) 7) f(x) =
2)
5)
t
6) g(z) =
1)
B) D: [0, ), R: (- , )
8 3
D) D: (- , ), R: 0,
8 3
4
8)
7 t
A) D: (- ,0), R: (- ,0) C) D: [0, ), R: [0, )
B) D: (0, ), R: (0, ) D) D: (- , ), R: (- , )
9) g(z) = 1 - z 2 A) D: (-1,1), R: (-1,1) C) D: [0, ), R: (- , )
B) D: (- , ), R: (0, 1) D) D: [-1,1], R: [0,1] 1
9)
Determine whether or not the graph is a graph of a function of x. 10)
A) Function
10)
B) Not a function
11)
11)
A) Function
B) Not a function
12)
12)
A) Function
B) Not a function
2
13)
13)
A) Function
B) Not a function
14)
14)
A) Function
B) Not a 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) p = x3
C) p = 6x
3
3x D) p = 2
16)
17) Express the area of a square as a function of its side length x. A) A = x4 B) A = 4x C) A = x2
17) D) A = 2x
18) Express the length d of a square's diagonal as a function of its side length x. A) d = x B) d = 2x C) d = x 3
D) d = x 2
18)
19) Express the perimeter of an isosceles triangle with side lengths x, 5x, and 5x as a function of the side length. A) p = 25x3 B) p = 10x3 C) p = 11x D) p = 10x
19)
20) Express the area of a circle as a function of its radius r.
20)
A) A = 2 r
B) A = r
C) A = r2
21) Express the volume of a sphere as a function of its radius r. 2 2 3 3 r r A) V = r3 B) V = C) V = 3 4
D) A = r3
4 3 r D) V = 3
21)
22) A point P in the first quadrant lies on the graph of the function f(x) = x2 . Express the slope of the line joining P to the origin as a function of x. 2 1 A) m = B) m = x C) m = 2x D) m = x x
22)
23) A point P in the fourth quadrant lies on the graph of the function f(x) = -x2 . Express the slope of the line joining P to the origin as a function of x. 1 A) m = B) m = -2x C) m = x D) m = -x x
23)
Find the domain and graph the function. 24) f(x) = -6x - 1
24)
4
A) D: (- , )
B) D: (- , )
C) D: (- , )
D) D: [0, )
25) g(x) = -1 - 2x - x2
25)
5
A) D: (- , 0]
B) D: (- , )
C) D: (- , )
D) D: (- , )
26) F(x) =
26)
-x
6