determine the range of y= -1/2 cos x?

6 ⤊

determine the range of y= -1/2 cos x?

2007-12-06 19:04:00 · 4 answers · asked by cmissypooh02 2 in Science & Mathematics ➔ Mathematics

4 answers

Max value of cos x = 1
Min value of cos x = - 1
y (x) = (-1/2) cos x
y(0) = (-1/2)
y(π) = (1/2)
Range = [- 1/2 , 1/2 ]

2007-12-07 01:33:18 · answer #1 · answered by Como 7 · 5⤊ 0⤋

-1= 1/2=<-1/2 cos x=<-1/2
hence the range is [-1/2,1/2]

2007-12-07 03:26:51 · answer #2 · answered by MTG G 2 · 0⤊ 1⤋

cos x oscillates between -1 & 1,
so (-1/2) cos x oscillates between (-1/2)(-1) & (-1/2)(1) or 1/2
& -1/2,
thus range of y = (-1/2) cos x is [-1/2, 1/2].

2007-12-07 03:11:38 · answer #3 · answered by Anonymous · 1⤊ 1⤋

range: -0.5 and 0.5

2007-12-07 03:08:31 · answer #4 · answered by Kate 2 · 0⤊ 1⤋