Question

Function: y=3 sin(x) + 5

Range: 2 sy<8
How can you look at the function and know what the
range is?

Answer 1

see explanation

Explanation:

The function has a maximum value when sinx = 1 , then

y = 3(1) + 5 = 3 + 5 = 8

The function has a minimum value when sinx = - 1, then

y = 3(- 1) + 5 = - 3 + 5 = 2

Thus

range is 2 < y < 8