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Consider the following function. f(x) = x1/3+1 (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. If an answer does not exist, enter DNE.) increasing (-∞0,0) x decreasing DNE (c) Apply the First Derivative Test to identify the relative extremum. (If an answer does not exist, enter DNE.) relative maximum (x, y) = DNE relative minimum (x, y) = DNE LARCALCET7 4.3.037. MY NOTES ASK YOUR TEACHER Consider the following function. f(x) = 5-1x - 61 (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) = 9. [-/5 Points] DETAILS
Consider the following function. (3x + 2, xs-1 x²-2, x>-1 (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 (-∞, -1) U (0,00) decreasing (-1,0) (c) Apply the First Derivative Test to identify the relative extremum. (If an answer does not exist, enter DNE.) relative maximum -1,-1 relative minimum (x, y) = - (1 0, 2