Consider the function f(x) = 4xe-x². 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 = 2 √2 f has a local minimum at x = 2 f has a point of inflection at x = 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 "]" 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: •-) (100) f is decreasing on: -√2 + √2) Incorrect Incorrect -80,- √6 √6 20, 2

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter3: Functions
Section3.3: More On Functions; Piecewise-defined Functions
Problem 98E: Determine if the statemment is true or false. If the statement is false, then correct it and make it...
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Consider the function f(x) = 4xe-x².
Identify the locations where ƒ 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 =
2
√2
f has a local minimum at x =
f has a point of inflection at x =
1,0, V
Identify the intervals of increase, decrease, and concavity.
(Give your answers as intervals in the form (*, *). Use the symbol ∞ for infinity, U for combining intervals, and an appropriate
type of parentheses "(",")", "[", or "]" 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: (-00---√/2)0 (+√ 2.00)
Incorrect
f is decreasing on:
-√2 + √₂)
Incorrect
√6
Transcribed Image Text:Consider the function f(x) = 4xe-x². Identify the locations where ƒ 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 = 2 √2 f has a local minimum at x = f has a point of inflection at x = 1,0, V Identify the intervals of increase, decrease, and concavity. (Give your answers as intervals in the form (*, *). Use the symbol ∞ for infinity, U for combining intervals, and an appropriate type of parentheses "(",")", "[", or "]" 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: (-00---√/2)0 (+√ 2.00) Incorrect f is decreasing on: -√2 + √₂) Incorrect √6
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