SOLUTION: Determine any (global) maxima or minima of the function g(x)=x^2-x-20.

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Question 87219: Determine any (global) maxima or minima of the function g(x)=x^2-x-20.
Answer by Nate(3500) About Me  (Show Source):
You can put this solution on YOUR website!
g(x) = x^2 - x - 20
This is a vertical parabola with the leading coefficient being positive.
The vertex will be a minimum.
(0.5,f(0.5))
(0.5,-20.25)
Minima of -20.25
~Calc~
g(x) = x^2 - x - 20
g'(x) = 2x - 1
g''(x) = 2
g''(0.5) > 0 ... this indicates a minima
g'(x) = 2x - 1
0 = 2x - 1
1 = 2x
0.5 = x
g(0.5) = 0.25 - 0.5 - 20 = -20.25
graph%28300%2C500%2C-5%2C5%2C-25%2C10%2Cx%5E2+-+x+-+20%29