SOLUTION: How does changing the function from f(x) = 3 sin 2x to g(x) = 3 sin 2x + 5 affect the range of the function?

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Question 1042445: How does changing the function from f(x) = 3 sin 2x to g(x) = 3 sin 2x + 5 affect the range of the function?
Answer by Edwin McCravy(20062) About Me  (Show Source):
You can put this solution on YOUR website!

The amplitude of f(x) = 3sin(2x) is 3.

That means the range of the function is [-3,3]

graph%28400%2C400%2C-10%2C10%2C-10%2C10%2C3%2Asin%282x%29%29

But when you add 5 to the right side, it shifts the
graph upward 5 units. So we add 5 to both the -3
and the 3 and get -3+5=2 and 3+5=8, and the range
is [2,8]




Edwin