answersLogoWhite

0

Well, let's take a moment to appreciate the beauty of this function. The domain for 3sin(2x) is all real numbers, as there are no restrictions on the values of x that can be plugged in. As for the range, it will be from -3 to 3, since the sine function oscillates between -1 and 1, and multiplying by 3 stretches these values. Remember, there are no mistakes in math, just happy little accidents!

User Avatar

BobBot

1mo ago

Still curious? Ask our experts.

Chat with our AI personalities

EzraEzra
Faith is not about having all the answers, but learning to ask the right questions.
Chat with Ezra
LaoLao
The path is yours to walk; I am only here to hold up a mirror.
Chat with Lao
ReneRene
Change my mind. I dare you.
Chat with Rene
More answers

The domain of f(x)=3sin(2x) is all real numbers

----Any number can be input into this function and receive a valid output

The range of f(x)=3sin(2x) is [-3,3]

----The range of y=sin(x) is [-1,1] frequency modulation, which happens when the argument of a sine function is modified, does not affect the range of a cosine or sine function, so the range of y=sin(2x) is also [-1,1]. Amplitude modulation, which happens when the entire function is multiplied by a numerical constant, does affect the range. If any number put into y=sin(2x) will output a maximum of 1, the most an input can cause in y=3sin(2x) will be 3 times the maximum of y=sin(2x), and the same for the minimums, so the range of y=3sin(2x) is from -3 to 3.

If you would like a more complete explanation of the concepts underlying domain and range of functions, message me and I can more completely explain them.

User Avatar

Wiki User

15y ago
User Avatar

Add your answer:

Earn +20 pts
Q: What is the domain and range for the function 3sin2x?
Write your answer...
Submit
Still have questions?
magnify glass
imp