Consider the function f(x) = 4x² Identify the locations where f has transition points. (Give your answer in the form of a comma-separated list, if needed. Express numbers in exact form. Use symbolic notation and fractions where needed. Enter DNE if no such x-value exists.) √2 f has a local maximum at x = f has a local minimum at x = f has a point of inflection at x = 4.4 Identify the intervals of increase, decrease, and concavity. (Give your answers as intervals in the form (,). Use the symbol oo for infinity, u for combining intervals, and an appropriate type of parentheses "(".")", "[", or "J" depending on whether the interval is open or closed. Express numbers in exact form. Use symbolic notation and fractions where needed. Enter DNE if no such interval exists.) f is increasing on: f is decreasing on: f is concave up on: fis concave down on: S - ++) ~ (+20) (√2+1) ✓0) (VF00) (-∞0.-+-) (₁.1)

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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Consider the function f(x) = 4x²
Identify the locations where / has transition points.
(Give your answer in the form of a comma-separated list, if needed. Express numbers in exact form. Use symbolic notation and
fractions where needed. Enter DNE if no such x-value exists.)
f has a local maximum at x =
f has a local minimum at x =
f has a point of inflection at x =
√ √6
22
Identify the intervals of increase, decrease, and concavity.
(Give your answers as intervals in the form (*, *). Use the symbol oo for infinity, u for combining intervals, and an appropriate
type of parentheses "(".")", "[", or "J" depending on whether the interval is open or closed. Express numbers in exact form. Use
symbolic notation and fractions where needed. Enter DNE if no such interval exists.)
f is increasing on:
f is decreasing on:
f is concave up on:
✓0) (VF00)
fis concave down on:
(-0₁-V-) (₁₁√/F)
Identify any horizontal asymptotes.
(Express numbers in exact form. Use symbolic notation and fractions where needed. Let y = f(x) and give your answer as an
equation of a horizontal line.)
horizontal asymptote(s):
Verify your answers by graphing f using the graphing utility
f(x) =
-15
-10
- ++) ~ (+20)
(√2+1)
esmos
Transcribed Image Text:Consider the function f(x) = 4x² Identify the locations where / has transition points. (Give your answer in the form of a comma-separated list, if needed. Express numbers in exact form. Use symbolic notation and fractions where needed. Enter DNE if no such x-value exists.) f has a local maximum at x = f has a local minimum at x = f has a point of inflection at x = √ √6 22 Identify the intervals of increase, decrease, and concavity. (Give your answers as intervals in the form (*, *). Use the symbol oo for infinity, u for combining intervals, and an appropriate type of parentheses "(".")", "[", or "J" depending on whether the interval is open or closed. Express numbers in exact form. Use symbolic notation and fractions where needed. Enter DNE if no such interval exists.) f is increasing on: f is decreasing on: f is concave up on: ✓0) (VF00) fis concave down on: (-0₁-V-) (₁₁√/F) Identify any horizontal asymptotes. (Express numbers in exact form. Use symbolic notation and fractions where needed. Let y = f(x) and give your answer as an equation of a horizontal line.) horizontal asymptote(s): Verify your answers by graphing f using the graphing utility f(x) = -15 -10 - ++) ~ (+20) (√2+1) esmos
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