SOLUTION: A quadratic function is given. f(x) = 1 + x − sqrt of 2(x^2) a) Use a graphing device to find the maximum value of the quadratic function f, rounded to two decimal places

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Question 1039286: A quadratic function is given.
f(x) = 1 + x − sqrt of 2(x^2)
a) Use a graphing device to find the maximum value of the quadratic function f, rounded to two decimal places.
Correct: value of f is f(x) = 1.18
I am just not sure how to find the exact maximum value of f, in order to compare it with part (a).

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
A quadratic function is given.
f(x) = 1 + x − sqrt of 2(x^2)
a) Use a graphing device to find the maximum value of the quadratic function f, rounded to two decimal places.
-----

Max occurs at x = -b/(2a) = -1/(2sqrt(2)) = 0.3536..
f(0.3536) = 1.177
----
Max is (0.3536,1.177)
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Cheers,
Stan H.
---------------
Correct: value of f is f(x) = 1.18

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