Find the local maximum and minimum values and saddle point(s) of the function. I

Question

Find the local maximum and minimum values and saddle point(s) of the function. If you have three dimensional graphing software, graph the function with a domain and viewpoint that reveal all the important aspects of the function. (Enter NONE in any unused answer blanks.)
f(x, y) = 5 - 2x + 4y - x2 - 4y2

maximum
f( ? , ? ) = ? (smaller x value)
f( ? , ? ) = ? (larger x value)
minimum
f( ? , ? ) = ? (smaller x value)
f( ? , ? ) = ? (larger x value)
saddle points
( ? , ? ) (smallest x value)
( ? , ? ) (largest x value)

Explanation / Answer

f(x, y) = 5 - 2x + 4y - x2 - 4y2 fx = -2-2x = 0 => x = -1 fxx = -2 y = 0.5 fyy = -8

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