Consider the function f(x) = 8(x − 3)²/3. For this function there are two important intervals: (-∞, A) and (A, ∞) where A is a critical point. - Find A For each of the following intervals, tell whether f(x) is increasing (type in INC) or decreasing (type in DEC). (-∞, A): (A, ∞): For each of the following intervals, tell whether f(x) is concave up (type in CU) or concave down (type in CD). (-∞, A): (A, ∞):

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 14E
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Consider the function f(x) = 8(x − 3)²/³. For this function there are two important intervals: (-∞, A) and (A, ∞) where A is a critical point.
Find A
For each of the following intervals, tell whether f(x) is increasing (type in INC) or decreasing (type in DEC).
(-∞, A):
(A, ∞):
For each of the following intervals, tell whether f(x) is concave up (type in CU) or concave down (type in CD).
(-∞, A):
(A, ∞):
Transcribed Image Text:Consider the function f(x) = 8(x − 3)²/³. For this function there are two important intervals: (-∞, A) and (A, ∞) where A is a critical point. Find A For each of the following intervals, tell whether f(x) is increasing (type in INC) or decreasing (type in DEC). (-∞, A): (A, ∞): For each of the following intervals, tell whether f(x) is concave up (type in CU) or concave down (type in CD). (-∞, A): (A, ∞):
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