Use the graph to estimate the open intervals on which the function is increasing or decreasing. Then find the open intervals analytically. (Enter your answers using interval notation.) increasing decreasing a3 Y= E bx Need Help? Submit Answer 3. [-/8 Points] DETAILS LARCALC11 3.1.017.MI. MY NOTES ASK YOUR TEACHER Find the critical numbers of the function. (Enter your answers as a comma-separated list.) fix) = 6x% 9x Submit Answer 4. [-/9 Points] LARCALC11 3.1.029. ASK YOUR TEACHER Find the absolute extrema of the function on the closed interval. y=33-2x [-1,1] minimum (x, y) = ( ) maximum (x, y) = ( ) Submit Answer 1. [-/8 Points] LARCALC11 3.1.013. ASK YOUR TEACHER Approximate the critical numbers of the function shown in the graph. Determine whether the function has a relative maximum, a relative minimum, an absolute maximum, an absolute minimum, or none of these at each critical number on the interval shown. (Enter your answers as a comma-separated list.) y Approximate the critical numbers. X = List the critical numbers at which each phenomenon occurs. (If an answer does not exist, enter DNE.) relative maxima X = relative minima X absolute maxima x = absolute minima ~ x I e T e T\\ Approximate the critical numbers of the function shown in the graph. Determine whether the function has a relative maximum, a relative minimum, an absolute maximum, an absolute minimum, or none of these at each critical number on the interval shown. (Enter your answers as a comma-separated list.) Approximate the critical numbers. X = List the critical numbers at which each phenomenon occurs. (If an answer does not exist, enter DNE.) relative maxima X = relative minima X absolute maxima x absolute minima x Determine whether Rolle's Theorem can be applied to f on the closed interval [a, b]. (Select all that apply.) fix) = x23 -1, [-64, 64] [J Yes, Rolle's Theorem can be applied. (J No, because f is not continuous on the closed interval [a, b]. (O No, because f is not differentiable in the open interval (a, b). No, because f(a) # f(b). X If Rolle's Theorem can be applied, find all values of c in the open interval (a, b) such that f'(c) = 0. (Enter your answers as a comma-separated list. If Rolle's Theorem cannot be applied, enter NA.) c=|NA v Submit Answer Consider the following function. f(x) = x2 - 8x (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) = ( ) Submit Answer 3. I-/R Paints] | DETAILS | LARCALC11 3.3.037. | MY NOTES \