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Consider the function f(x) = 8x + 9x-. For this function there are four important intervals: (-o, A], [A, B),(B, C], and [C, o) where A, and C are the critical numbers and the function is not defined at B.

Consider the function f(x) = 8x + 9x-. For this function there are four important intervals: (-o, A], [A, B),(B, C], and [C, o) where A, and C are the critical numbers and the function is not defined at B.

Calculus For The Life Sciences
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.
Chapter4: Calculating The Derivative
Section4.2: Derivatives Of Products And Quotients
Problem 35E
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Consider the function f(x) = 8x + 9x¬' . 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 and B and C For each of the following intervals, tell whether f(x) is increasing (type in INC) or decreasing (type in DEC). (-∞, A]: [A, B): (В, С)]: [C, co) 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): (В, со):
Transcribed Image Text:Consider the function f(x) = 8x + 9x¬' . 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 and B and C For each of the following intervals, tell whether f(x) is increasing (type in INC) or decreasing (type in DEC). (-∞, A]: [A, B): (В, С)]: [C, co) 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): (В, со):
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