what is the range of y=3cosx-1?a) -4 ≤ x ≤ 4b) -4 ≤ x ≤ 2c) -3 ≤ x ≤ 3d) -2 ≤ x ≤ 0

 For this case we have the following equation:
 [tex]y = 3cosx-1 [/tex]
 We must find the maximum and minimum values of the equation to find the range. 
 We have then:
 For x = 0
 [tex]y = 3cos (0) -1 y = 3 (1) -1 y = 3-1 y = 2[/tex]
 For x = pi
 [tex]y = 3cos ( \pi ) -1 y = 3 (-1) -1 y = -3-1 y = -4[/tex]
 The range of the function is given by:
 [-4, 2]
 Equivalently,
 -4 ≤ x ≤ 2
 Answer:
 b) -4 ≤ x ≤ 2