Find the critical numbers of f (if any). Find the open intervals on which the function is increasing or decreasing and locate all relative extrema. Use a graphing utility to confirm your results. f(x) In(3-In x) Critical numbers: (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) x== Increasing: (Select all that apply.) (0, e³) O(e³, ∞) O(-∞, 0) O(-00,00) O none of these X Decreasing: (Select all that apply.) 0 (0, e³) (e³, ∞) O(-∞, 0) O(-∞0,00) Onone of these X Relative extrema: (If an answer does not exist, enter DNE.) relative maximum (x, y) = relative minimum (x, y) =

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
Question
Find the critical numbers of f (if any). Find the open intervals on which the function is increasing or decreasing and locate all relative extrema. Use a graphing utility to confirm your results.
f(x) = In(3 - In x)
Critical numbers: (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.)
X =
=
Increasing: (Select all that apply.)
✔ (0, e³)
☐ (e³, ∞)
O (-∞, 0)
□ (-∞0, ∞0)
none of these
Decreasing: (Select all that apply.)
(0, e³)
✔ (e³, ∞)
(-∞, 0)
□ (-∞0, ∞)
none of these
Relative extrema: (If an answer does not exist, enter DNE.)
relative maximum
(x, y)
relative minimum
=
(x, y) =
Transcribed Image Text:Find the critical numbers of f (if any). Find the open intervals on which the function is increasing or decreasing and locate all relative extrema. Use a graphing utility to confirm your results. f(x) = In(3 - In x) Critical numbers: (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) X = = Increasing: (Select all that apply.) ✔ (0, e³) ☐ (e³, ∞) O (-∞, 0) □ (-∞0, ∞0) none of these Decreasing: (Select all that apply.) (0, e³) ✔ (e³, ∞) (-∞, 0) □ (-∞0, ∞) none of these Relative extrema: (If an answer does not exist, enter DNE.) relative maximum (x, y) relative minimum = (x, y) =
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