Find the maximum and minimum value of y=-3 sin 2x+1
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Answer:
Maximum: 4 (occuring at x values of
π
4
+
n
⋅
π
)
Minimum: -2 (occuring at x values of
3
π
4
+
n
⋅
π
)
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:
(
π
4
,
−
2
)
which is the minimum, with maximum being
(
3
π
4
,
4
)
which is the maximum.
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