Question

For the function below, determine each of the following. g(x) = x^4 / (x − 24)...

For the function below, determine each of the following. g(x) = x^4 / (x − 24)

(a) Find the critical values of g(x). (Enter your answers as a comma-separated list.)

(b) Find the intervals on which g(x) is increasing and the intervals on which g(x) is decreasing. Enter your answers using interval notation.

Increasing:

Decreasing:

(c) Find the x-coordinates of all relative extrema on the graph of g(x). (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.)

Relative Maxima:

Relative Minima:

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