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Find the domain of the function a. Domain: all real numbers x=6 b. Domain: all real numbers x=8 c. Domain: all real numbers x = -8 d. Domain: all real numbers e. Domain: all real numbers x = -6 x except x except x except x x except Find the domain of the function a. Domain: all real numbers x except x =7 b. Domain: all real numbers x except x = ±49 c. Domain: all real numbers x except x = ±8 d. Domain: all real numbers x except x = -7 e. Domain: all real numbers x except x = ±7 Determine the domains of f and g. a. Domain of f: all real numbers x except x = -6 Domain of g: all real numbers x b. Domain of f: all real numbers x except x = ±6 Domain of g: all real numbers x c. Domain of f: all real numbers x except x = ±36 Domain of g: all real numbers x except x=6 d. Domain of f: all real numbers x except x =6 Domain of g: all real numbers x e. Domain of f: all real numbers x except x = ±6 Domain of g: all real numbers x except x=6 Find the domain of a. all real numbers b. all real numbers c. all real numbers d. all real numbers x = -9 e. all real numbers except except except except x x x x = = = = -9 81 9 9 and Find the domain of the function and identify any vertical and horizontal asymptotes. a. Domain: all real numbers x except x=2 Vertical asymptote: x = 2 Horizontal asymptote: y = -1 b. Domain: all real numbers x Vertical asymptote: x = -2 Horizontal asymptote: y = 0 c. Domain: all real numbers x except x=0 Vertical asymptote: x = 0 Horizontal asymptote: y = -1 d. Domain: all real numbers x except x=2 Vertical asymptote: x = 0 Horizontal asympotote: y = -2 e. Domain: all real numbers x except x = -2 Vertical asympotote: x = 0 Horizontal asympotote: y = 2 Find the domain of the function and identify any vertical and horizontal asympototes. a. Domain: all real numbers x except x = Vertical asympotote: x = 0 Horizontal asympotote: y = -2 b. Domain: all real numbers x except x = Vertical asympotote: x = -6 Horizontal asympotote: No horizontal asymptote c. Domain: all real numbers x except x = Vertical asympotote: x = 6 Horizontal asympotote: No horizontal asympotote d. Domain: all real numbers x except x = Vertical asympotote: x = 6 Horizontal asymptote: y = 2 e. Domain: all real numbers x Vertical asymptote: x = -6 Horizontal asymptote: y = 0 0 -6 6 6 Find the domain of the function and identify any vertical and horizontal asympototes. a. Domain: all real numbers x Vertical asympotote: No vertical asymptote Horizontal asymptote: y = 9 b. Domain: all real numbers x except x = 0 Vertical asymptote: x = 0 Horizontal asymptote: y = -8 c. Domain: all real numbers x Vertical asymptote: x = -9 Horizontal asymptote: y = 0 d. Domain: all real numbers x except x = 9 Vertical asymptote: No vertical asymptote Horizontal asymptote: No horizontal asymptote e. Domain: all real numbers x except x = 9 Vertical asymptote: x = 9 Horizontal asymptote: y = 8 Determine the value that the function f approaches as the magnitude of x increases. a. ∞ b. -3 c. 2 d. -1 e. 0 Simplify f and find any vertical asymptotes of f. a. x+6; Vertical asymptote: none b. x-6; Vertical asymptote: x=6 c. x-6; Vertical asymptote: none d. x-36; Vertical asymptote: x=6 e. x-36; Vertical asymptote: none Simplify f and find any vertical asymptotes of f. a. x+3; Vertical asymptote: x = -3 b. x; Vertical asymptote: none c. x; Vertical asymptote; x = -3 d. x - 3; Vertical asympotote: none e. x2; Vertical asympotote: none Determine the value that the function f approaches as the magnitude of x increases. a. 3 b. -3 c. 4 d. -4 e. -3.67 Find the domain of the function and identify any vertical and horizontal asymptotes. a. 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. b. 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. c. 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. d. 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. e. 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. Determine the equations of any horizontal and vertical asymptotes of a. horizontal: b. horizontal: c. horizontal: x = -5 d. horizontal: e. horizontal: y = 5; vertical: x = 0 y = 1; vertical: x = -5 y=1; vertical: x=1 and y = -1; vertical: x = -5 y = 0; vertical: none Determine the equations of the vertical and horizontal asymptotes of the graph of the function a. horizontal: x = -2; vertical: y = 3 and y = -3 b. horizontal: y = 2; vertical: x = 3 and x = -3 c. horizontal: y = -3; vertical: x = 2 d. horizontal: y = 2; vertical: x = 3 e. horizontal: x = 3 and x = -3; vertical: y = -2 ______________________________ Simplify f and find any vertical asymptotes of f. a. x2; Vertical asymptote: x =0 b. x-1: Vertical asymptote: none c. x: Vertical asymptote: x=0 d. x:Vertical asymptote: none e. 1/x: Vertical asymptote: x=0 Identify all intercepts of the function. a. y-intercept: (0,-1/4) b. y-intercept: (0,1/4) c. y-intercept: (0,4) d. y-intercept: (4,0) e. y-intercept: (0,-4) _____________________________ Identify all intercepts of the following function: a. x-intercepts: (±3,0) b. no intercepts c. x-intercepts: (-3,0) d. x-intercepts: (0,0) e. x-intercepts: (3,0) Select the correct graph of the function a. b . c D e Select the graph of the rational function. (Plotted additional solution points as needed.) a. b. b. C d e 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? a.No. The function is undefined at P = 100. b.Yes
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