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...
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![Determine the intervals on which the function is concave up or down and find the points of inflection.
f(x) = 6x³ 11x² + 1
(Give your answer as a comma-separated list of points in the form (*, *). Express numbers in exact form. Use symbolic notation
and fractions where needed.)
points of inflection:
Determine the interval on which f is concave up.
(Give your answer as an interval in the form (*, *). Use the symbol ∞o for infinity, U for combining intervals, and an appropriate
type of parenthesis "(",")", "[","]" depending on whether the interval is open or closed. Enter Ø if the interval is empty. Express
numbers in exact form. Use symbolic notation and fractions where needed.)
x E
Determine the interval on which f is concave down.
(Give your answer as an interval in the form (*, *). Use the symbol ∞o for infinity, U for combining intervals, and an appropriate
type of parenthesis "(",")", "[","]" depending on whether the interval is open or closed. Enter Ø if the interval is empty. Express
numbers in exact form. Use symbolic notation and fractions where needed.)
x E](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F677e228e-6c20-4a63-9c14-f73f1bce344f%2Fc33247b5-0f79-4f9a-8f03-c944ac86aefe%2F3r52s5b_processed.png&w=3840&q=75)
Transcribed Image Text:Determine the intervals on which the function is concave up or down and find the points of inflection.
f(x) = 6x³ 11x² + 1
(Give your answer as a comma-separated list of points in the form (*, *). Express numbers in exact form. Use symbolic notation
and fractions where needed.)
points of inflection:
Determine the interval on which f is concave up.
(Give your answer as an interval in the form (*, *). Use the symbol ∞o for infinity, U for combining intervals, and an appropriate
type of parenthesis "(",")", "[","]" depending on whether the interval is open or closed. Enter Ø if the interval is empty. Express
numbers in exact form. Use symbolic notation and fractions where needed.)
x E
Determine the interval on which f is concave down.
(Give your answer as an interval in the form (*, *). Use the symbol ∞o for infinity, U for combining intervals, and an appropriate
type of parenthesis "(",")", "[","]" depending on whether the interval is open or closed. Enter Ø if the interval is empty. Express
numbers in exact form. Use symbolic notation and fractions where needed.)
x E
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