Q:

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

Accepted Solution

A:
By graphing each function, we can find the range of each one
So,
     From figure 1:  The range of  y = 3sin(x − π)         ⇒⇒⇒⇒⇒ [-3, 3] 
     From figure 2:  The range of  y = 1 − sin(x)           ⇒⇒⇒⇒⇒ [0, 2]
     From figure 3:  The range of  y = 3 + 4cos(x − π)  ⇒⇒⇒⇒⇒ [-1, 7]
     From figure 4:  The range of  y = 2 + cot(x)           ⇒⇒⇒⇒⇒ (-∞, ∞)