Question

what are the matching the functions with their ranges y = 3sin(x − π), (-∞, ∞) ,y = 1 − sin(x) ,[-1, 7] , y = 3 + 4cos(x − π) ,[-3, 3] , y = 2 + cot(x), [0, 2]

Answer 1

You need to know:

Tangent function has range of (-∞, ∞)

Sine function has range of [-1,1], which is the same as cosine function

So [-3,3] matches the 1st, [0,2] matches the 2nd, [-1,7] matches the 3rd, the 4th will be the rest