Find the maximum or minimum value of the function.

label Algebra
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Find the maximum or minimum value of the function.

f(x) = 2 − x − 
1
2
x2
Oct 18th, 2017

f(x) = 2 - x - x^2

= -x^2 - x + 2

= -(x^2+x) + 2

= -(x+1/2)^2 + 2 + 1/4

= -(x+1/2)^2 + 9/4

Therefore f(x) has a MAXIMUM value of 9/4

Mar 10th, 2015

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