Question: Consider the following. f ( x ) = x / ( x 4) 2 (a) State the domain of the function. (b) Identify all intercepts.

Consider the following.

f(x) =x /(x4)2

(a) State the domain of the function.

(b) Identify all intercepts. (If an answer does not exist, enter DNE.)

x-intercept(x,y) =

y-intercept(x,y) =

(c) Find any vertical and horizontal asymptotes. (Enter your answers as a comma-separated list of equations. If there are no asymptotes, enter DNE.)

(d) Plot additional solution points as needed to sketch the graph of the rational function.

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