the domain of the function, algebra homework help

the domain of the function, algebra homework help

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

5 points

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

5 points

QUESTION 3

1. Determine the domains of f and g.

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

5 points

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

5 points

QUESTION 5

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

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

5 points

QUESTION 6

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

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

5 points

QUESTION 7

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

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

5 points

QUESTION 8

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

   		∞
   		-3
   		2
   		-1
   		0

5 points

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

5 points

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

5 points

QUESTION 11

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

   		3
   		-3
   		4
   		-4
   		-3.67

5 points

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.

5 points

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

5 points

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

5 points

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

5 points

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)

5 points

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)

5 points

QUESTION 18

1. Select the correct graph of the function

5 points

QUESTION 19

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

5 points

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

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