sketch-the-graph-of-f-x-2-x-x-2-then-state-its-domain-and-range-

Question Number 35645 by mondodotto@gmail.com last updated on 21/May/18

sketch the graph of

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

then state its domain and range

Answered by Penguin last updated on 21/May/18

Domain :

x \in [- \infty, \infty]

Range :

Max \min y @ y^{'} = 0

y^{'} = - 1 - 2 x = 0

x = - \frac{1}{2}

y = 2 - (- \frac{1}{2}) - {(- \frac{1}{2})}^{2}

y = 2 + \frac{1}{2} - \frac{1}{4}

y = \frac{9}{4}

\max / \min ?

y^{″} = - 2

∴ Maximum

∴ y \in [- \infty, \frac{9}{4}]

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