find the absolute maximum and minimum

Chapter , Problem 75PE

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Absolute Extrema In Exercises 71-78, find the absolute maximum and minimum values of $f$ on the region $R$ .

$f(x, y)=x^{2}-y^{2}-2 x+4 y$

$R$ : The triangular region bounded below by the $x$ -axis, above by the line $y=x+2$, and on the right by the line $x=2$

Equation Transcription:

$f(x,\ y)={x}^{2}-{y}^{2}-2x+4y$

$y=x+2$

$x=2$

Text Transcription:

f(x, y)=x^2 -y^2 -2x +4y

y=x+2

x=2

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