7. For the function f(x)=2x-4x² -2 do the following: a) Find the critical points. b) State the interval(s) where the function is increasing. Give your answers in proper interval notation. c) State the interval(s) where the function is decreasing. Give your answers in proper interval notation. d) On what interval(s) is the function concave up and concave down? Show your work. How do you know for certain?

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...
icon
Related questions
Question
7. For the function f(x)=2x¹-4x² -2 do the following:
a) Find the critical points.
b) State the interval(s) where the function is increasing. Give your answers in proper interval notation.
c) State the interval(s) where the function is decreasing. Give your answers in proper interval notation.
d) On what interval(s) is the function concave up and concave down? Show your work. How do you
know for certain?
Transcribed Image Text:7. For the function f(x)=2x¹-4x² -2 do the following: a) Find the critical points. b) State the interval(s) where the function is increasing. Give your answers in proper interval notation. c) State the interval(s) where the function is decreasing. Give your answers in proper interval notation. d) On what interval(s) is the function concave up and concave down? Show your work. How do you know for certain?
Expert Solution
steps

Step by step

Solved in 5 steps with 13 images

Blurred answer
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Precalculus
Precalculus
Calculus
ISBN:
9780135189405
Author:
Michael Sullivan
Publisher:
PEARSON
Calculus: Early Transcendental Functions
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning