Consider the function f(x) = 6. Determine the intervals over which f is concave up and concave down. Identify the r-coordinate of all inflection points. Separate your answer by commas. Use open intervals only. f is concave up on: f is concave down on: the x-coordinate of all inflection points:

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 98E: Determine if the statemment is true or false. If the statement is false, then correct it and make it...
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Consider the function f(x) = r
6
Determine the intervals over which f is concave up and concave
down. Identify the r-coordinate of all inflection points. Separate your answer by commas. Use open
intervals only.
f is concave up on:
f is concave down on:
the z-coordinate of all inflection points:
Transcribed Image Text:Consider the function f(x) = r 6 Determine the intervals over which f is concave up and concave down. Identify the r-coordinate of all inflection points. Separate your answer by commas. Use open intervals only. f is concave up on: f is concave down on: the z-coordinate of all inflection points:
Expert Solution
Step 1

Consider the given function.

fx=x-6x

Find the derivative of the function.

f'x=1+6x2

Put the double derivative equal to zero.

6x2=-1x2=-6

Thus, there is no critical point exist.

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