NOTE: When using interval notation in WeBWork, remember that: You use 'INF' for oo and '-INF' for -∞. And use 'U' for the union symbol. Enter DNE if an answer does not exist. f(x) -3x³-4 a) Determine the intervals on which f is concave up and concave down. f is concave up on: (-INF,0) f is concave down on: (0,6) b) Based on your answer to part (a), determine the inflection points of f. Each point should be entered as ordered pair (that is, in the form (x, y)). (Separate multiple answers by commas.) c) Find the critical numbers of f and use the Second Derivative Test, when possible, to determine the relativ extrema. List only the x-coordinates. Relative maxima at: (Separate multiple answers by commas.) (Separate multiple answers by commas.) Relative minima at: d) Find the x-value(s) where f'(x) has a relative maximum or minimum. f' has relative maxima at: f' has relative minima at: A|: (Separate multiple answers by commas.) (Separate multiple answers by commas.)

NOTE: When using interval notation in WeBWork, remember that: You use 'INF' for oo and '-INF' for -∞. And use 'U' for the union symbol. Enter DNE if an answer does not exist. f(x) -3x³-4 a) Determine the intervals on which f is concave up and concave down. f is concave up on: (-INF,0) f is concave down on: (0,6) b) Based on your answer to part (a), determine the inflection points of f. Each point should be entered as ordered pair (that is, in the form (x, y)). (Separate multiple answers by commas.) c) Find the critical numbers of f and use the Second Derivative Test, when possible, to determine the relativ extrema. List only the x-coordinates. Relative maxima at: (Separate multiple answers by commas.) (Separate multiple answers by commas.) Relative minima at: d) Find the x-value(s) where f'(x) has a relative maximum or minimum. f' has relative maxima at: f' has relative minima at: A|: (Separate multiple answers by commas.) (Separate multiple answers by commas.)

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter3: Functions

Section3.6: Absolute Value Functions

Problem 38SE: Cities A and B are on the same east-west line. Assume that city A is located at the origin. If the...

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