19. For a given function, f(x) = ³ - 15x² + 48x + 2, (a) Find the interval(s) on which f is increasing. (b) Find the interval(s) on which f is decreasing. (c) Find x-value(s) at which f has a local maximum. (d) Find z-value(s) at which f has a local minimum.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter3: Functions
Section3.3: More On Functions; Piecewise-defined Functions
Problem 99E: Determine if the statemment is true or false. If the statement is false, then correct it and make it...
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19. For a given function, f(x) = 2x³ - 15x² + 48x + 2,
(a) Find the interval(s) on which f is increasing.
(b) Find the interval(s) on which f is decreasing.
(c) Find x-value(s) at which f has a local maximum.
(d) Find x-value(s) at which f has a local minimum.
(e) Find the interval(s) where f is concave upward.
(f) Find the interval(s) where f is concave downward.
(g) Find x-value(s) for all inflection point(s).
Transcribed Image Text:19. For a given function, f(x) = 2x³ - 15x² + 48x + 2, (a) Find the interval(s) on which f is increasing. (b) Find the interval(s) on which f is decreasing. (c) Find x-value(s) at which f has a local maximum. (d) Find x-value(s) at which f has a local minimum. (e) Find the interval(s) where f is concave upward. (f) Find the interval(s) where f is concave downward. (g) Find x-value(s) for all inflection point(s).
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