Consider the function f(x) Then A= and B Then C = For each of the following intervals, tell whether f(x) is increasing or decreasing. (-∞, A]: ? [A, B]: ? [B, ∞) ? + + + and D= The critical number A is ? and the critical number B is ? There are two numbers C

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter3: Polynomial And Rational Functions
Section: Chapter Questions
Problem 11T: Consider the following rational functions: r(x)=x2x22x1 s(x)=x2+4x3+27 t(x)=x+2x39x u(x)=x225x2+x6...
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Consider the function ƒ(x) = x³/5(x − 8). This function has two critical numbers A < B
Then A
and B
For each of the following intervals, tell whether f(x) is increasing or decreasing.
(-∞, A]: ?
[A, B]: ?
[B,∞) ?
The critical number A is ?
and the critical number B is ?
There are two numbers C < D where either f"(x) = 0 or f"(x) is undefined.
Then C =
and D =
Finally for each of the following intervals, tell whether f(x) is concave up or concave down.
(-∞, C): ?
(C, D) ?
(D,∞) ?
Transcribed Image Text:Consider the function ƒ(x) = x³/5(x − 8). This function has two critical numbers A < B Then A and B For each of the following intervals, tell whether f(x) is increasing or decreasing. (-∞, A]: ? [A, B]: ? [B,∞) ? The critical number A is ? and the critical number B is ? There are two numbers C < D where either f"(x) = 0 or f"(x) is undefined. Then C = and D = Finally for each of the following intervals, tell whether f(x) is concave up or concave down. (-∞, C): ? (C, D) ? (D,∞) ?
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