Consider the function f(x) = 5x + 7x-. For this function there are four important intervals: ( – 00, A], [A, B),(B, C], and [C, o) where A, and C are the critical numbers and the function is not defined at B. Find A and B and C For each of the following intervals, tell whether f(x) is increasing (type in INC) or decreasing (type in DEC). (- 00, A]: [A, B): (B, C]: (C, o0) 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 (type in CU) or concave down (type in CD). (- 0, B): (B, 0):

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
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ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
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Chapter5: A Survey Of Other Common Functions
Section5.4: Combining And Decomposing Functions
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(206) 364-2000
Consider the function f(x) = 5x + 7x-'. For this function there are four important intervals: ( – 0, A],
[A, B),(B, C\, and [C, ∞) where A, and C are the critical numbers and the function is not defined at B.
Find A
Pause Settings
and B
Marker Sup
and C
For each of the following intervals, tell whether f(x) is increasing (type in INC) or decreasing (type in DEC).
(- ∞0, A]:
[A, B):
(B, C):
[C, 0)
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 (type in CU) or concave down (type in CD).
(- ∞, B):
(B, ∞):
Transcribed Image Text:ING (206) 364-2000 Consider the function f(x) = 5x + 7x-'. For this function there are four important intervals: ( – 0, A], [A, B),(B, C\, and [C, ∞) where A, and C are the critical numbers and the function is not defined at B. Find A Pause Settings and B Marker Sup and C For each of the following intervals, tell whether f(x) is increasing (type in INC) or decreasing (type in DEC). (- ∞0, A]: [A, B): (B, C): [C, 0) 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 (type in CU) or concave down (type in CD). (- ∞, B): (B, ∞):
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