Identify the maximum and minimum values of the function y = 10 cos x in the interval [-2π, 2π].

Answer if only know

We know that the maximum and minimum values of the function y = cos x in the interval [-2π, 2π] are 1 and - 1 respectively.

The graph of y = 8 cos x is vertical stretch by a factor of 8 units. Therefore the graph y=cos x, = the maximum and minimum values of the function y = cos x in the interval [-2π, 2π]. So they are 8 and - 8 respectively.

max = 8, ∈[-2π,2π]

= Solution

min = - 8. ∈[-2π,2π]

Maximum values:

(-2 pi, 10), (0, 10), (2 pi, 10),

Minimum values:

( - pi, - 10), (pi, - 10),