Identify the maximum and minimum values of the function in the interval $ [-2 \pi, 2 \pi] $. Use your understanding of transformations, not your graphing calculator.
-$$y = 6 \cos x$$
A) Maximum value $= 12 ;$ minimum value $= - 12$
B) Maximum value $= 6$; minimum value $= - 6$
C) Maximum value $= 3$; minimum value $= - 3$
D) Maximum value $= 6$; minimum value $= 0$

Question

Quizplus · Accepted Answer

The maximum value of $\cos x$ is 1 and the minimum value is -1. Multiplying by 6, the maximum value of $y = 6 \cos x$ becomes 6 and the minimum value becomes -6.

Identify the Maximum and Minimum Values of the Function in the Interval