Fidn the maximum value (largest output) of y=2sin(1/4)x-5, on the interval -2╥ <= 0 <= 2╥?
I honestly don't know where to start to be honest. Any help would be thankful. Thanks!
Update:Sorry, I also forgot to mention that the answer is 2. So since you got 2╥ does that mean I ignore the ╥?
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-1 ≤ sin(1/4)x ≤ 1
When sin(1/4)x = 1, y has the max value, so y = 2*1-5 = 2-5 = -3
sin(1/4)x = 1
(1/4)x = arcsin(1)
(1/4)x = π/2
x = 2π, which is in the interval -2π ≤ x ≤ 2π.