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

Algebra ->  Equations -> 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      Log On


   

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) About Me  (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.
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graph%28400%2C400%2C-5%2C5%2C-5%2C5%2C1%2Bx-sqrt%282%29x%5E2%29
Max occurs at x = -b/(2a) = -1/(2sqrt(2)) = 0.3536..
f(0.3536) = 1.177
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Max is (0.3536,1.177)
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Cheers,
Stan H.
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Correct: value of f is f(x) = 1.18