How do you graph # y=sin3x#?

1 Answer
Jul 10, 2018

Answer:

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Please read the explanation.

Explanation:

#" "#
We are given the function:

#color(red)(y=f(x)=sin (3x)#

Create a data table of values for #color(blue)(f(x) = Sin theta#

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Graph the parent function of #color(blue)(y=f(x)=sin(x)#

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Next graph the given function #color(blue)(y=f(x)=sin 3x)#

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The domain of this function is the set of input values for which the function f(x) is real and defined.

Hence, the domain of #color(red)(f(x)# is #color(red)((-oo, oo)#

The range of the function f(x) refers to the set of values of the dependent variable for which the function is defined.

Hence, the range of #color(red)(f(x)# is #color(red)((-1<=f(x)<=1)#

Hope it helps.