Question

Hi, I need help with what is the range of the function f(x)=2 sin(3x) on a standard coordinate plane.

Answer 1

We have the function:

$f(x)=2sin(3x)$

For a sine wave, the range of the function is dependent on the coefficient of the sine function; in this case, 2 is the coefficient of the function. This means that the lowest point of the wave occurs at -2 and the highest point on the wave occurs at 2. The range of the function is given below:

$\displaystyle-2\leq y\leq2$