Question

How does changing the function from f(x) = 2 sin 4x to g(x) = 2 sin 4x + 3 affect the range of the function? The function shifts up 3 units, so the range changes from −2 to 2 in f(x) to 1 to 5 in g(x). The function shifts up 3 units, so the range changes from −1 to 1 in f(x) to 2 to 4 in g(x). The function shifts up 4 units, so the range changes from −2 to 2 in f(x) to 2 to 6 in g(x). The function shifts up 4 units, so the range changes from −1 to 1 in f(x) to 3 to 5 in g(x).

Answer 1

The function shifts up 3 units, so the range changes from -2 to 2 in f(x) to 1 to 5 in g(x).

Answer 2

Explanation:

Consider the parent function

f(x) = sin 4x has range as -1 to 1

When sin4x is multiplied by 2, we have range changes to -2 to 2

When the graph is shifted up by 3 units we get

range changes minimum from -2 to -2+3=1 and maximum as 2+3=5

So range is in the interval

[1,5]

Option

he function shifts up 3 units, so the range changes from −2 to 2 in f(x) to 1 to 5 in g(x)is right