f(x) = sin x

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

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

(c) What is the absolute maximum of f?

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

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

(f) For what numbers x, −2π ≤ x ≤ 2π, does f (x) = −1/2?

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