# sketching absolute value

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• Mar 16th 2009, 03:14 AM
jvignacio
sketching absolute value
sketch

a) y = |sinx|

b) y = sin|x|

how do i sketch these functions?

thanks
• Mar 16th 2009, 03:42 AM
mr fantastic
Quote:

Originally Posted by jvignacio
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.
• Mar 16th 2009, 09:37 AM
stapel
Quote:

Originally Posted by jvignacio
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! :D
• Mar 17th 2009, 12:39 AM
jvignacio
Quote:

Originally Posted by stapel
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! :D

yeah i know but with them being absolute values just got me confused.