# How do you graph  y=sin3x?

Jul 10, 2018

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#### Explanation:

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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

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

Next graph the given function $\textcolor{b l u e}{y = f \left(x\right) = \sin 3 x}$

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.