Consider the function f(x) = 2x + 5x-¹. For this function there are four important intervals: (-∞, A], [A, B), (B, C, and [C, oo) where A, and Care the critical numbers and the function is not defined at B. Find A and B and C For each of the following open intervals, tell whether f(x) is increasing or decreasing. (-∞, A): [Select an answer (A, B): Select an answer (B, C): [Select an answer (C, ∞) [Select an answer Note that this function has no inflection points, but we can still consider its concavity. For each of the following intervals, tell whether f(x) is concave up or concave down. (-∞o, B): Select an answer (B, ∞): Select an answer

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter5: Graphs And The Derivative
Section5.1: Increasing And Decreasing Functions
Problem 33E
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Consider the function f(x) = 2x + 5x-¹. For this function there are four important intervals:
-1
(-∞o, A], [A, B), (B, C, and [C, co) where A, and Care the critical numbers and the function is not
defined at B.
Find A
and B
and C
For each of the following open intervals, tell whether f(x) is increasing or decreasing.
(-∞, A): [Select an answer
(A, B): Select an answer
(B, C): [Select an answer
(C, ∞o) Select an answer
Note that this function has no inflection points, but we can still consider its concavity. For each of the
following intervals, tell whether f(x) is concave up or concave down.
(-∞o, B): Select an answer
(B, ∞o): Select an answer
Transcribed Image Text:Consider the function f(x) = 2x + 5x-¹. For this function there are four important intervals: -1 (-∞o, A], [A, B), (B, C, and [C, co) where A, and Care the critical numbers and the function is not defined at B. Find A and B and C For each of the following open intervals, tell whether f(x) is increasing or decreasing. (-∞, A): [Select an answer (A, B): Select an answer (B, C): [Select an answer (C, ∞o) Select an answer Note that this function has no inflection points, but we can still consider its concavity. For each of the following intervals, tell whether f(x) is concave up or concave down. (-∞o, B): Select an answer (B, ∞o): Select an answer
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