Consider the following function. - J3x + 1, lx² - 3, f(x) : x > -1 (a) Find the critical numbers of f. (Enter your answers as a comma-separated list.) х3D (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 (х, у) :

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 98E: Determine if the statemment is true or false. If the statement is false, then correct it and make it...
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Consider the following function.
- J3x + 1,
lx² - 3,
f(x) :
x > -1
(a) Find the critical numbers of f. (Enter your answers as a comma-separated list.)
х3D
(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
(х, у) :
Transcribed Image Text:Consider the following function. - J3x + 1, lx² - 3, f(x) : x > -1 (a) Find the critical numbers of f. (Enter your answers as a comma-separated list.) х3D (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 (х, у) :
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