g(x) = cos x

(a) What is the y-intercept of the graph of g?

(b) For what numbers x, −π ≤ x ≤ π, is the graph of g decreasing?

(c) What is the absolute minimum of g?

(d) For what numbers x, 0 ≤ x ≤ 2π, does g(x) = 0?

(e) For what numbers x, −2π ≤ x ≤ 2π, does g(x) = 1? Where does g(x) = −1?

(f) For what numbers x, −2π ≤ x ≤ 2π, does g(x) = √3/2?

(g) What are the x-intercepts of g?