Question

Identify the maximum and minimum values of the function y = 8 cos x in the interval [-2π, 2π]. Use your understanding of transformations, not your graphing calculator.

Answer 1

amplitude is?

Answer 2

its not given

Answer 3

@satellite73

Answer 4

yes it is

Answer 5

8?

Answer 6

8-max
-8 min

Answer 7

just like the last one
it is the absolute value of the number
yes

Answer 8

so the biggest it can be is \(8\) and the smallest is \(-8\)

Answer 9

so how do i explain that?

Answer 10

like this:
the largest cosine can be is \(1\) so the largest \(8\cos(x)\) can be is \(8\)

Answer 11

cosx max value is 1&min value is -1

Answer 12

similarly for "smallest"
the smallest cosine can be is \(-1\) so the smallest \(8\cos(x)\) can be is \(-8\)

Answer 13

thank you

Answer 14

yw