Consider the following function. S4x + 1, x s 1 f(x) 16 – x², x > 1 %3D

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.
S4x + 1,
f(x)
X < 1
16 - x²,
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.)
relative maximum
(х, у)
=
relative minimum
(х, у) 3
=
Transcribed Image Text:Consider the following function. S4x + 1, f(x) X < 1 16 - x², 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.) relative maximum (х, у) = relative minimum (х, у) 3 =
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