Question: Increasing Consider the following function. Use a graphing utility to confirm your answers for parts (a) through (c). (If an answer does not exist, enter

Increasing

Consider the following function. Use a graphing utility to confirm your answers for parts (a) through (c). (If an answer does not exist, enter DNE.) f(x) = x1/9+ 5 (a) Find the critical numbers of f. (Enter your answers as a comma-separated list. ) X 0 (b) Find the open intervals on which the function is increasing or decreasing. (Enter your answers using interval notation.) increasing (-00, 0), (0,00) X decreasing DNE (c) Apply the First Derivative Test to identify all relative extrema. relative maximum (x, y) = DNE relative minimum ( x, y ) = DNE

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