The function f(x)=acosx+b where a<0 has a maximum value of 8 and a minimum value of −2.Find a+b.


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Question Number 11050 by lepan last updated on 09/Mar/17

$T h e f u n c t i o n f (x) = a c o s x + b w h e r e$ $a < 0 h a s a m a x i m u m v a l u e o f 8 a n d$ $a m i n i m u m v a l u e o f - 2 . F i n d a + b .$
	Answered by Mahmoud A.R last updated on 09/Mar/17

	$- 1 ⩽ \cos x ⩽ 1$ $- a ⩾ a \cos x ⩾ a$ $b - a ⩾ a \cos x + b ⩾ a + b$ $m i n i m u m o f f (x) = a + b = - 2$
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