Consider the function f(x) = x/(x-6). 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. (-00, A]: ? [A, B]: ? [B, 00) ? 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. %3D Then C = and D = %3D Finally for each of the following intervals, tell whether f(x) is.concave up or concave down. (-00, C): ? (C, D) ? (D, 00) ?
Consider the function f(x) = x/(x-6). 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. (-00, A]: ? [A, B]: ? [B, 00) ? 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. %3D Then C = and D = %3D Finally for each of the following intervals, tell whether f(x) is.concave up or concave down. (-00, C): ? (C, D) ? (D, 00) ?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![Consider the function f(x) = 4/(x-6). This function has two citical numbers A< B
Then A =
and B .
For each of the following intervals, tell whether f(x) is increasing or decreasing.
(-00, A]: ?
[4, B]: ?
[B, 00) ?
The critical number A is ?
+ and the critical number B is ?
There are two numbers C < D where either f"(x) = 0 or f"(æ) is undefined.
Then C =
and D
%3D
Finally for each of the following intervals, tell whether f(x) is. concave up or concave down.
(-00, C): ?
(C, D) ?
(D, 00) ?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F82a52211-3f63-48c6-b5e1-40041605a894%2Fddd32b33-064e-4cc3-be43-41f0f9837528%2Fcnfdzli_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Consider the function f(x) = 4/(x-6). This function has two citical numbers A< B
Then A =
and B .
For each of the following intervals, tell whether f(x) is increasing or decreasing.
(-00, A]: ?
[4, B]: ?
[B, 00) ?
The critical number A is ?
+ and the critical number B is ?
There are two numbers C < D where either f"(x) = 0 or f"(æ) is undefined.
Then C =
and D
%3D
Finally for each of the following intervals, tell whether f(x) is. concave up or concave down.
(-00, C): ?
(C, D) ?
(D, 00) ?
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