Question

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

Answer if only know

Answer 1

Maximum values:

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

Minimum values:

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

Answer 2

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]