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Math Help - piecewise function,

  1. #1
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    Red face 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)?

    It'd be great if you can leave a comment to help me
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  2. #2
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    Quote Originally Posted by AIYAH View Post

    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.

    It'd be great if you can leave a comment to help me
    ...
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  3. #3
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    :D

    it makes a lot more sense now, thanks for the help ^____^
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