The-function-f-x-acosx-b-where-a-lt-0-has-a-maximum-value-of-8-and-a-minimum-value-of-2-Find-a-b-

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