1. ## piecewise function,

a.) At what points does the graph cross the x-axis
the graph crosses the x-axis when y= 0, so would it be when x= -2pi, -pi, pi, 2pi, 3pi, 4 pi... etc. (the problem doesn't give me a range..)
b.) What is the relation between f(x) and tan(x) at points x ≠ 0 at which f(x) = 0?
i don't know what to do for this part.. i graphed it on my calculator but it just looks weird. lol..
c.) What is the behavior of f as |x| --> infinity
i'm not sure how i should answer this... the graph oscillates from (0, infinity)?

2. Originally Posted by AIYAH

a.) At what points does the graph cross the x-axis
the graph crosses the x-axis when y= 0, so would it be when x= -2pi, -pi, pi, 2pi, 3pi, 4 pi... etc. (the problem doesn't give me a range..) <<<<< correct. In general: f(x) = 0 if sin(x) = 0
b.) What is the relation between f(x) and tan(x) at points x ≠ 0 at which f(x) = 0? <<<<<<<<< Both functions have the same zeros.
i don't know what to do for this part.. i graphed it on my calculator but it just looks weird. lol..
c.) What is the behavior of f as |x| --> infinity
i'm not sure how i should answer this... the graph oscillates from (0, infinity)? <<<<<<<< The numerator can't be greater than 1. The denominator increases. Thus the quotient approaches zero.