Use the graph of the function to answer the following.

Question

f(x) = cos(x)

 on the interval [−2𝜋, 2𝜋]

(a) Find the x-intercepts of the graph of y = f(x). (Enter your answers as a comma-separated list.)

x =



(b) Find the y-intercepts of the graph of y = f(x).(Enter your answers as a comma-separated list.)

y =

(c) Find the intervals on which the graph of y = f(x) is increasing and the intervals on which the graph of y = f(x) is decreasing. (Enter your answers using interval notation.)

increasing:

decreasing:

(d) Find the relative extrema of the graph of y = f(x). (Enter your answers as a comma-separated list of ordered pairs.)

relative maxima:

relative minima

Answer 1

a) The X-intercepts = {-3π/2, -π/2, π/2, 3π/2}

b) The Y-intercept is f(0) = 1.

c) The intervals of Increase are (-π, 0) ∪ (π, 2π). The interval of decrease are (-2π, -π) ∪ (0, π)

d) The relative maxima are: (-2π, 1), (0,1), (2π, 1). The relative minima are: (-π, -1), (π, -1)