Consider the function f(x) = x4/5 (x - 3). This function has two critical numbers A < B %3D Then A = 0 and B 4/3 For each of the following intervals, tell whether f(x) is increasing or decreasing. (-0, A]: increasing [A, B]: decreasing [B, 0) increasing The critical number A is a relative maximum + and the critical number B is a relative minimum There are two numbers C < D where either f"(x) = 0 or f"(x) is undefined. and D = Then C = Finally for each of the following intervals, tell whether f(x) is concave up or concave down. (-∞, C): ? (C, D) ? (D, co) ?

College Algebra (MindTap Course List)
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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...
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i did half work, i just need help with the other half part. Need help with where it says "Then C and D=" and the part above that.

Consider the function f(x) = x4/5 (x - 3). This function has two ritical numbers A < B
%3D
Then A = 0
and B 4/3
For each of the following intervals, tell whether f(x) is increasing or decreasing.
(-0, A]: increasing
[A, B]: decreasing
[B, co) increasing
The critical number A is a relative maximum and the critical number B is a relative minimum
There are two numbers C < D where either f"(x) = 0 or f"(x) is undefined.
and D =
Then C =
Finally for each of the following intervals, tell whether f(x) is concave up or concave down.
(-0, C): ?
(C, D) ?
(D, co) ?
Transcribed Image Text:Consider the function f(x) = x4/5 (x - 3). This function has two ritical numbers A < B %3D Then A = 0 and B 4/3 For each of the following intervals, tell whether f(x) is increasing or decreasing. (-0, A]: increasing [A, B]: decreasing [B, co) increasing The critical number A is a relative maximum and the critical number B is a relative minimum There are two numbers C < D where either f"(x) = 0 or f"(x) is undefined. and D = Then C = Finally for each of the following intervals, tell whether f(x) is concave up or concave down. (-0, C): ? (C, D) ? (D, co) ?
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