Let f(x) = 4 sin x
Complete parts (a) through (e) below
a. What is the y-intercept of the graph of f?
b. For what numbers x, , is the graph of f ?
The y-intercept of a graph is the point where the graph intersects the y-axis. To find the y-intercept of the graph of f(x) = 4 sin x, we need to find the value of f when x = 0.
a. When x = 0, f(x) = 4 sin (0) = 4(0) = 0. Therefore, the y-intercept of the graph of f is (0, 0).
b. The graph of f(x) = 4 sin x crosses the x-axis at every multiple of π (pi) because sin(x) = 0 when x is a multiple of π. Therefore, for every integer n, the graph of f is 0 at x = nπ.