Consider the function f(x) = 7(x - 5)²/³. For this function there are two important intervals: (-∞, A) and (A, ∞) where A is a critical number. 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, ∞0):

College Algebra (MindTap Course List)
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Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter3: Functions
Section3.3: More On Functions; Piecewise-defined Functions
Problem 99E: 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) = 7(x – 5)²/³. For this function there are two important intervals: (-∞, A)
and (A, ∞) where A is a critical number.
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) = 7(x – 5)²/³. For this function there are two important intervals: (-∞, A) and (A, ∞) where A is a critical number. 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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