SOLUTION: (a)Find the domain of the function, (b) decide if the function is continuous, and (c) identify any horizontal and vertical asymptotes. f(x)= 4/((x-2)^3)

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: (a)Find the domain of the function, (b) decide if the function is continuous, and (c) identify any horizontal and vertical asymptotes. f(x)= 4/((x-2)^3)      Log On


   



Question 470031: (a)Find the domain of the function, (b) decide if the function is continuous, and (c) identify any horizontal and vertical asymptotes.
f(x)= 4/((x-2)^3)

Answer by lwsshak3(11628) About Me  (Show Source):
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(a)Find the domain of the function, (b) decide if the function is continuous, and (c) identify any horizontal and vertical asymptotes.
f(x)= 4/((x-2)^3)
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Domain: x≠2 or (-∞,2) U (2,∞)
Continuity: Discontinuity at x=2
Horizontal asymptote: x-axis
Vertical asymptote: x=2