Question

What are the x-coordinates for the maximum points in the function f(x) = 4 cos(2x − π) from x = 0 to x = 2π? (1 point) Select one: a. x = 3 pi over 2 , x = π b. x = pi over 2 , x = 3 pi over 2 c. x = 0, x = 2π d. x = 0, x = π

Answer 1

9514 1404 393

Answer:

  b. x = π/2, x = 3π/2

Step-by-step explanation:

The maximum is found where the argument of the cosine function is a multiple of 2π.

  2x -π = 2nπ

  2x = (2n+1)π . . . . . . . add π

  x = (2n+1) · π/2 . . . . . divide by 2

  x = {π/2, 3π/2}