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what is the maximum value of the function f(x)= 12 - 3sin (3pi/2 x)

Sagot :

The lowest value of sinα is -1.

When x=1, you get:

[tex]f\left( x \right) =12-3\sin { \left( \frac { 3 }{ 2 } \pi \right) } \\ \\ =12-3\left( -1 \right) \\ \\ =12+3\\ \\ =15[/tex]

So the maximum value of the function is 15.
Panoyinidn
f(x) = 12 - 3sin(3π/2x)
f(x) = 12 - 3sin(9.42/2x)

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