Sketch the graph.
Use the graph to find the range and zeros of the function.
Check the inequality signs carefully to see if the points are included or not.
. Sketch the graph of .
Which way is the curve shifted; right, left, up, or down?
Write an expression for the piecewise function
. Be sure to change the domain.
1. Be careful when you substitute
in the second part. makes the expression .
2. Check to make sure you shift your domain
unit to the right.
Find the range and zeros of
. How does this compare to your answer to part (b)?