the domain of the function algebra homework help

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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
 
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