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QUESTION 1

1. Find the domain of the function

		Domain: all real numbers x except x=6
		Domain: all real numbers x except x=8
		Domain: all real numbers x except x = -8
		Domain: all real numbers x
		Domain: all real numbers x except x = -6

QUESTION 2

1. Find the domain of the function

		Domain: all real numbers x except x = 7
		Domain: all real numbers x except x = ±49
		Domain: all real numbers x except x = ±8
		Domain: all real numbers x except x = -7
		Domain: all real numbers x except x = ±7

QUESTION 3

1. Determine the domains of f and g.

		Domain of f: all real numbers x except x = -6 Domain of g: all real numbers x
		Domain of f: all real numbers x except x = ±6 Domain of g: all real numbers x
		Domain of f: all real numbers x except x = ±36 Domain of g: all real numbers x except x=6
		Domain of f: all real numbers x except x = 6 Domain of g: all real numbers x
		Domain of f: all real numbers x except x = ±6 Domain of g: all real numbers x except x=6

QUESTION 4

1. Find the domain of

		all real numbers except x = -9
		all real numbers except x = 81
		all real numbers except x = 9
		all real numbers except x = 9 and x = -9
		all real numbers

QUESTION 5

1. Find the domain of the function and identify any vertical and horizontal asymptotes.

		Domain: all real numbers x except x = 2 Vertical asymptote: x = 2 Horizontal asymptote: y = -1
		Domain: all real numbers x Vertical asymptote: x = -2 Horizontal asymptote: y = 0
		Domain: all real numbers x except x = 0 Vertical asymptote: x = 0 Horizontal asymptote: y = -1
		Domain: all real numbers x except x = 2 Vertical asymptote: x = 0 Horizontal asympotote: y = -2
		Domain: all real numbers x except x = -2 Vertical asympotote: x = 0 Horizontal asympotote: y = 2

QUESTION 6

1. Find the domain of the function and identify any vertical and horizontal asympototes.

		Domain: all real numbers x except x = 0 Vertical asympotote: x = 0 Horizontal asympotote: y = -2
		Domain: all real numbers x except x = -6 Vertical asympotote: x = -6 Horizontal asympotote: No horizontal asymptote
		Domain: all real numbers x except x = 6 Vertical asympotote: x = 6 Horizontal asympotote: No horizontal asympotote
		Domain: all real numbers x except x = 6 Vertical asympotote: x = 6 Horizontal asymptote: y = 2
		Domain: all real numbers x Vertical asymptote: x = -6 Horizontal asymptote: y = 0

QUESTION 7

1. Find the domain of the function and identify any vertical and horizontal asympototes.

		Domain: all real numbers x Vertical asympotote: No vertical asymptote Horizontal asymptote: y = 9
		Domain: all real numbers x except x = 0 Vertical asymptote: x = 0 Horizontal asymptote: y = -8
		Domain: all real numbers x Vertical asymptote: x = -9 Horizontal asymptote: y = 0
		Domain: all real numbers x except x = 9 Vertical asymptote: No vertical asymptote Horizontal asymptote: No horizontal asymptote
		Domain: all real numbers x except x = 9 Vertical asymptote: x = 9 Horizontal asymptote: y = 8

QUESTION 8

1. Determine the value that the function f approaches as the magnitude of x increases.

		∞
		-3
		2
		-1
		0

QUESTION 9

1. Simplify f and find any vertical asymptotes of f.

		x+6; Vertical asymptote: none
		x-6; Vertical asymptote: x=6
		x-6; Vertical asymptote: none
		x-36; Vertical asymptote: x=6
		x-36; Vertical asymptote: none

QUESTION 10

1. Simplify f and find any vertical asymptotes of f.

		x+3; Vertical asymptote: x = -3
		x; Vertical asymptote: none
		x; Vertical asymptote; x = -3
		x - 3; Vertical asympotote: none
		x2; Vertical asympotote: none

QUESTION 11

1. Determine the value that the function f approaches as the magnitude of x increases.

		3
		-3
		4
		-4
		-3.67

QUESTION 12

1. Find the domain of the function and identify any vertical and horizontal asymptotes.

		The domain is all real numbers x except x = ±2. There is a vertical asymptote at x = -2, and a horizontal asymptote at y = 0.
		The domain is all real numbers x except x = ±2. There is a vertical asymptote at x = -4, and a horizontal asymptote at y = 0.
		The domain is all real numbers x except x = ±4. There is a vertical asymptote at x = -4, and a horizontal asymptote at y = 0.
		The domain is all real numbers x except x = ±2. There is a vertical asymptote at x = 2, and a horizontal asymptote at y = 0.
		The domain is all real numbers x except x = ±4. There is a vertical asymptote at x = -2, and a horizontal asymptote at y = 0.

QUESTION 13

1. Determine the equations of any horizontal and vertical asymptotes of

		horizontal: y = 5; vertical: x = 0
		horizontal: y = 1; vertical: x = -5
		horizontal: y=1; vertical: x=1 and x = -5
		horizontal: y = -1; vertical: x = -5
		horizontal: y = 0; vertical: none

QUESTION 14

1. Determine the equations of the vertical and horizontal asymptotes of the graph of the function.

		horizontal: x = -2; vertical: y = 3 and y = -3
		horizontal: y = 2; vertical: x = 3 and x = -3
		horizontal: y = -3; vertical: x = 2
		horizontal: y = 2; vertical: x = 3
		horizontal: x = 3 and x = -3; vertical: y = -2

QUESTION 15

1. Simplify f and find any vertical asymptotes of f.

		x2; Vertical asymptote: x = 0
		x-1: Vertical asymptote: none
		x: Vertical asymptote: x=0
		x:Vertical asymptote: none
		1/x: Vertical asymptote: x=0

QUESTION 16

1. Identify all intercepts of the function.

		y-intercept: (0,-1/4)
		y-intercept: (0,1/4)
		y-intercept: (0,4)
		y-intercept: (4,0)
		y-intercept: (0,-4)

QUESTION 17

1. Identify all intercepts of the following function:

		x-intercepts: (±3,0)
		no intercepts
		x-intercepts: (-3,0)
		x-intercepts: (0,0)
		x-intercepts: (3,0)

QUESTION 18

1. Select the correct graph of the function

QUESTION 19

1. Select the graph of the rational function. (Plotted additional solution points as needed.)

QUESTION 20

1. The cost C (in millions of dollars) of removing p% of the industrial and municipal pollutants discharged into a river is given by

According to this model, would it be possible to remove 100% of the pollutants?

		No. The function is undefined at P = 100.
		Yes