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Math Help - sketching absolute value

  1. #1
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    sketching absolute value

    sketch

    a) y = |sinx|

    b) y = sin|x|

    how do i sketch these functions?

    thanks
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  2. #2
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    Quote Originally Posted by jvignacio View Post
    sketch

    a) y = |sinx|

    b) y = sin|x|

    how do i sketch these functions?

    thanks
    For the first one, draw the graph of y = sin x and then reflect in the x-axis all parts of the graph lying below the x-axis.

    For the second one, draw the graph of y = sin x for x > 0. Now reflect this graph in the y-axis to get the required part of the graph for x < 0. Alternatively, note that |x| = -x for x < 0 and so sin |x| = sin (-x) = - sin x for x < 0.
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  3. #3
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    Quote Originally Posted by jvignacio View Post
    a) y = |sinx|
    b) y = sin|x|

    how do i sketch these functions?
    How? In the usual manner: Pick x-values, plug them into the formulas, simplify to find the corresponding y-values, draw the dots, and (once you have enough dots to be confident of the shape) rough in the graph.

    Where are you stuck? Please be complete. Thank you!
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  4. #4
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    Quote Originally Posted by stapel View Post
    How? In the usual manner: Pick x-values, plug them into the formulas, simplify to find the corresponding y-values, draw the dots, and (once you have enough dots to be confident of the shape) rough in the graph.

    Where are you stuck? Please be complete. Thank you!
    yeah i know but with them being absolute values just got me confused.
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