Consider the following function. (3x + 2, 0 = f(x) = (a) Find the critical numbers of f. (Enter your answers as a comma-separated list.) (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 x < -1 X > -1 (c) Apply the First Derivative Test to identify the relative extremum. (If an answer does not exist, enter DNE.) (x, y) = relative maximum relative minimum (x, y) =

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Consider the following function.
3x + 2,
-1
0-{X²+² X²-²
f(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
decreasing
(c) Apply the First Derivative Test to identify the relative extremum. (If an answer does not exist, enter DNE.)
(x, y) =
relative maximum
relative minimum
(x, y) =
Transcribed Image Text:Consider the following function. 3x + 2, -1 0-{X²+² X²-² f(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 decreasing (c) Apply the First Derivative Test to identify the relative extremum. (If an answer does not exist, enter DNE.) (x, y) = relative maximum relative minimum (x, y) =
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