The range of y = 2sin(x) + 1 is any y value between y = 0 and y = 3

True or False

I know the range is -1

Question

The range of y = 2sin(x) + 1 is any y value between y = 0 and y = 3

True or False

I know the range is -1 <= y <= 3, I just need help with this specific question. I think the wording is tricky.

isaiah.feynman · Answer

Do you know the amplitude?

anonymous · Answer

Yeah, it's 2.

isaiah.feynman · Answer

The amplitude (highest point) is 2, the lowest point is -2, thus the graph oscillates on the interval [-2,2]. That interval is the range. :)

anonymous · Answer

Amplitude is NOT the highest point. Amplitude is the distance from the origin to the crest or trough of the wave. I do agree that the range is the highest point and the lowest point. The correct answer is above. I wanted an opinion as to what would you choose on the specific question.

isaiah.feynman · Answer

If that's your definition of amplitude, what is a wavelength?

anonymous · Answer

The distance from similar points in a wave i.e. crest to crest or trough to trough.

isaiah.feynman · Answer

Oh I see now...sorry I made an error while giving that answer.

isaiah.feynman · Answer

Silly little mistakes.