Question: Consider the following. f ( x ) = 1 4 x 4 1 3 x 3 3 x 2 Find the critical numbers. (Enter your

Consider the following.

f(x) =

x⁴

x³3x²

Find the critical numbers. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.)

Find the open intervals on which the function is increasing or decreasing. Use a graphing utility to verify your results. (Enter your answers using interval notation. If an answer does not exist, enter DNE.)

increasing

decreasing

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