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...
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?
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