2x + 6 Consider the function f(x) = For this function there are two important intervals: (– 0, A | 6x + 2 and (A, o) where the function is not defined at A. Find A For each of the following intervals, tell whether f(x) is increasing (type in INC) or decreasing (type in DEC). (- 00, A): | (A, 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). ( - 00, A): (A, 0)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.5: Rational Functions
Problem 54E
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2x + 6
Consider the function f(x) =
For this function there are two important intervals: ( – 0, A)
6x + 2
and (A, 0) where the function is not defined at A.
Find A
For each of the following intervals, tell whether f(x) is increasing (type in INC) or decreasing (type in
DEC).
(— оо, А):
(A, 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).
(— оо, А):
(A, )
Transcribed Image Text:2x + 6 Consider the function f(x) = For this function there are two important intervals: ( – 0, A) 6x + 2 and (A, 0) where the function is not defined at A. Find A For each of the following intervals, tell whether f(x) is increasing (type in INC) or decreasing (type in DEC). (— оо, А): (A, 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). (— оо, А): (A, )
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