Consider the following function f ( x ) x 2 4 x ( a ) Find the critical numbers of f ( Enter your answers as a comma separated list ) x ( b ) Find the open intervals on which the function is increasing or decreasing ( Enter your answers using interval notation If an answer does not exist, enter DNE ) increasing decreasing ( c ) Apply the First Derivative Test to identify the relative extremum ( If an answer does not exist, enter DNE ) relative maximum ( x , y ) relative minimum ( x , y )

Question

Consider the following function  f ( x )   x   2 4 x ( a ) Find the critical numbers of f   ( Enter your answers as a comma   separated list  ) x   ( b ) Find the open intervals on which the function is increasing or decreasing  ( Enter your answers using interval notation  If an answer does not exist, enter DNE  ) increasing decreasing ( c ) Apply the First Derivative Test to identify the relative extremum  ( If an answer does not exist, enter DNE  ) relative maximum ( x , y )   relative minimum ( x , y )

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Consider the following function. f ( x ) = x ^ 2 4 x ( a ) Find the critical numbers of f . (

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