Find the maximun and minimum values of the function f(x)=x^2 −8x+7 and sketch its graph


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Question Number 69355 by cesar.marval.larez@gmail.com last updated on 22/Sep/19

$F i n d t h e m a x i m u n a n d m i n i m u m$ $v a l u e s o f t h e f u n c t i o n f (x) = x^{2} - 8 x + 7$ $a n d s k e t c h i t s g r a p h$
	Answered by MJS last updated on 22/Sep/19

	$\min / \max at f^{'} (x) = 0$ $to sketch it we also need the zeros$ $zeros$ $x^{2} - 8 x + 7 = 0$ $x = - \frac{p}{2} \pm \sqrt{\frac{p^{2}}{4} - q}$ $p = - 8; q = 7$ $x = 4 \pm \sqrt{16 - 7}$ $x_{1} = 1$ $x_{2} = 7$ $\min$ $f^{'} (x) = 2 x - 8 = 0 \Rightarrow x = 4$ $f^{″} (x) = 2 > 0 \Rightarrow minimum at (\begin{matrix} 4 \\ - 9 \end{matrix})$ $now sketch it$
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