What is the maximum and minimum of y=1-3sin(2x)?

1 Answer
Mr. Lacine
Feb 20, 2018

Maximum: 4 (occuring at x values of #pi/4 +n*pi#)
Minimum: -2 (occuring at x values of #(3pi)/4 +n*pi#)

Explanation:

Reminder: sine's maximum value is 1 and minimum value is 1.
Plugging those in, you get 1-3(1) and 1-3(-1). The y values gotten out of it are: #(pi/4, -2)# which is the minimum, with maximum being #((3pi)/4, 4)# which is the maximum.

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