A function is given. U(x) = XV7× – x² (a) Find the local maximum value of the function and the value of x at which this occurs. State the answer rounded to two decimal places. (x, y) = (b) Find the intervals on which the function is increasing and on which the function is decreasing. State each answer rounded to two decimal places. (Enter your answers using interval notation.) increasing decreasing

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 98E: Determine if the statemment is true or false. If the statement is false, then correct it and make it...
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A function is given.
U(x) = x/ 7x – x2
(a) Find the local maximum value of the function and the value of x at which this occurs. State the answer rounded to two decimal places.
(x, y) =
(b) Find the intervals on which the function is increasing and on which the function is decreasing. State each answer rounded to two decimal places. (Enter your
answers using interval notation.)
increasing
decreasing
Transcribed Image Text:A function is given. U(x) = x/ 7x – x2 (a) Find the local maximum value of the function and the value of x at which this occurs. State the answer rounded to two decimal places. (x, y) = (b) Find the intervals on which the function is increasing and on which the function is decreasing. State each answer rounded to two decimal places. (Enter your answers using interval notation.) increasing decreasing
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