Let f be the function f (x) = 2(+1) (a) Use the sagn pattern for f' (x) to determine the intervals where f rises and where f falls. (b) Determine the coordinates of the local extreme point(s). (c) Find f" (1) and determine where the graph of f is concave up and where it is concave down. (d) Determine the coordinates of the inflection point.

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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Let f be the function
f (x) =
2(+1)
(a) Use the sagn pattern for f' (x) to determine the intervals where f rises and where f falls.
(b) Determine the coordinates of the local extreme point(s).
(c) Find f" (1) and determine where the graph of f is concave up and where it is concave down.
(d) Determine the coordinates of the inflection point.
Transcribed Image Text:Let f be the function f (x) = 2(+1) (a) Use the sagn pattern for f' (x) to determine the intervals where f rises and where f falls. (b) Determine the coordinates of the local extreme point(s). (c) Find f" (1) and determine where the graph of f is concave up and where it is concave down. (d) Determine the coordinates of the inflection point.
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