Question

How do you graph `y=sin3x`?

Answer 1

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Please read the explanation.

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 `color(blue)(y=f(x)=sin 3x)`

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.