CK-12-Pre-Calculus Concepts

1.3. Point Notation and Function Notation http://www.ck12.org

TABLE1.1:(continued)

2 5

8 -11

Solution:
f(x)→f(x− 3 )+ 4
(x,y)→(x+ 3 ,y+ 4 )

Note that the operations with thexare different. The point notation is a straightforward approach to apply the
transformation.
Example B
Convert the following function notation into point notation and apply it to the included table of points.
f(x)→^14 f(−x− 3 )− 1
TABLE1.2:
x y
0 0
1 4
2 8

Solution:( Theycomponent can be directly observed. For thexcomponent you need to undo the argument.(x,y)→
−x− 3 ,^14 y− 1 )

Note: Point notation greatly reduces the mental visualization required to keep all the transformations straight at
once.
Example C