# Thread: sketching absolute value

1. ## sketching absolute value

sketch

a) y = |sinx|

b) y = sin|x|

how do i sketch these functions?

thanks

2. 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.

3. 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!

4. 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!
yeah i know but with them being absolute values just got me confused.