For the function y= -1+6 cos ( 2π/7(x-5) ), what is the maximum value

5

Step-by-step explanation:

I'm assuming you want to find the maximum value of y

recall that for any cosine function y = A cos (  g(x) ), where g(x) is any arbitrary function, that A represents the amplitude of the cosine function.

By definition, the amplitude is the maximum the value which the cosine term can take.

hence for your expression:

y= -1 + 6 cos ( 2π/7(x-5) )

max value of y = -1 + (max value of cosine function)

max value of y = -1 + (amplitude of cosine function)

max value of y = -1 + 6 = 5

d

gimmee one of those gold crowns!

~coco