SOLUTION: What is the max and min of the function f(x)=5 sin (-3x-90^o) -2

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Question 1172958: What is the max and min of the function f(x)=5 sin (-3x-90^o) -2
Found 2 solutions by ikleyn, greenestamps:
Answer by ikleyn(52873) About Me  (Show Source):
You can put this solution on YOUR website!
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The mid-line is y= -2, and the function oscillates around this value with the amplitude of 5 units, so


    f%5Bmax%5D = -2 + 5 = 3;   f%5Bmin%5D = -2 - 5 = -7.    ANSWER

Solved, explained and completed.



Answer by greenestamps(13208) About Me  (Show Source):
You can put this solution on YOUR website!


The minimum and maximum values of sin%28A%29, where A is ANY expression, are -1 and +1.

The minimum and maximum values of B%2Asin%28A%29, where A is ANY expression and B is a constant, are -B and +B.

The minimum and maximum values of B%2Asin%28A%29%2BC, where A is ANY expression and B and C are constants, are -B+C and +B+C.

In your example, B=5 and C=-2; the minimum and maximum values are -5-2=-7 and 5-2=3.