Consider the function f(x) = x3/5 (x-9). This function has two critical numbers A < B Then A = and B For each of the following intervals, determine whether f(x) is increasing or decreasing. (-00, A): ? (A, B): ? (B, 0) ? The critical number A is ? and the critical number B is ?

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter3: Functions
Section3.3: More On Functions; Piecewise-defined Functions
Problem 99E: Determine if the statemment is true or false. If the statement is false, then correct it and make it...
icon
Related questions
Topic Video
Question


can you help me find the answers to the questions in the picture attached? 

Consider the function f(x) = x/5 (x– 9). This function has two critical numbers A < B
|
Then A:
and B
For each of the following intervals, determine whether f(x) is increasing or decreasing.
(-00, A): ?
(A, B): ?
(В, оо) ?
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
%3D
Finally for each of the following intervals, tell whether f(x) is concave up or concave down.
(-0, C): ?
(C, D) ?
(D, 0) ?
>
>
<>
<>
Transcribed Image Text:Consider the function f(x) = x/5 (x– 9). This function has two critical numbers A < B | Then A: and B For each of the following intervals, determine whether f(x) is increasing or decreasing. (-00, A): ? (A, B): ? (В, оо) ? 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 %3D Finally for each of the following intervals, tell whether f(x) is concave up or concave down. (-0, C): ? (C, D) ? (D, 0) ? > > <> <>
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Permutation and Combination
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.
Recommended textbooks for you
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax