1. For the piecewise function below, find the specified function values.

? 5 x ? 8 , f o r x < ? 2

f ( x ) = { 1 2 x + 5 , f o r ? 2 ? x ? 4

10 ? 2 x , f o r x > 4

F i n d f ( ? 4 ) , f ( ? 2 ) , f ( 4 ) , a n d f ( 6 ) .

2. Find the difference quotient: g ( x + h ) ? g ( x ) h w h e r e g ( x ) = x 2 ? 3.

3. Find ( h ? g ) ( x ) a n d ( g ? h ) ( x ) a n d t h e d o m a i n o f e a c h .

g ( x ) = 3 x 2 ? 2 x ? 1 , h ( x ) = x + 1.

4. F i n d f ( x ) a n d g ( x ) s u c h t h a t h ( x ) = ( f ? g ) ( x ) .

h ( x ) = 1 ( x ? 2 ) 4

5. Describe how the graph of the function can be obtained from one of the basic graphs we learned. f ( x ) = | x ? 3 | ? 4