Consider the following function. Use a graphing utility to confirm your answers for parts (a) through (c). (If an answer does not exist, enter DNE.) f(x) = (x-4)ex (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.) increasing decreasing (c) Apply the First Derivative Test to identify all relative extrema. relative maximum relative minimum (x, y) = (x, y) =

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 36E
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Consider the following function. Use a graphing utility to confirm your answers for parts (a) through (c). (If an answer does not exist, enter DNE.)
f(x) = (x-4)e*
(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.)
increasing
decreasing
(c) Apply the First Derivative Test to identify all relative extrema.
relative maximum
relative minimum
(x, y) =
(x, y) =
Transcribed Image Text:Consider the following function. Use a graphing utility to confirm your answers for parts (a) through (c). (If an answer does not exist, enter DNE.) f(x) = (x-4)e* (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.) increasing decreasing (c) Apply the First Derivative Test to identify all relative extrema. relative maximum relative minimum (x, y) = (x, y) =
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