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

Change in function f(x) to g(x): 5 unit up

Range: [2,8]

Step-by-step explanation:

Given:

First we have to see the change from f(x) to g(x).

If we shift f(x) 5 unit up to get g(x)

Effect: f(x) shift 5 unit up

Now we see change in range.

Range of

Graph shift 5 unit up.

So, Range will shift 5 unit up.

Range of

Hence, The range of g(x) is [2,6]

one that is bigger than 3 1/2