Advanced Math Section 2.2 [Day 4] Name:
Vertical/Horizontal Line Test; One-To-One, Increasing/Decreasing/Constant
VERTICAL LINE TEST:
Example 1: Use the VERTICAL LINE TEST to show whether the given graphs are functions.
a. b. c. d.
HORIZONTAL LINE TEST:
ONE-TO-ONE:
Example 2: Use the HORIZONTAL LINE TEST to determine which of the functions above are one-to-one
Use the graphs in Example 1 to help answer these questions:
Trace the graph from left to right – your graph is
INCREASING if:
DECREASING if:
CONSTANT if:
In order to determine the intervals where a graph is increasing, decreasing and/or constant, you first
find the ____ coordinates of the _______________________________________ points.
For increasing, decreasing and constant intervals, always use the ____________________________
to show the interval notation, unless one of your boundaries is ________ or ________, then use
_____________________________________________.
