University:
Carleton College
Course:
MATH 101 | Calculus with Problem Solving
Academic year:

2024
Views:

497

Pages:

3
Author:

Giselle A.

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 _____________________________________________. Example 3: 3a. Label the maximum and minimum values on the graph. Then find the intervals where the graph is increasing, decreasing and/or constant. Lastly, determine if the function is one-toone. 3b. Increasing: Increasing: Decreasing: Decreasing: Constant: Constant: One-To-One: One-To-One: 3c. 3d. Increasing: Increasing: Decreasing: Decreasing: Constant: Constant: One-To-One: One-To-One: Example 3: 3e. Label the maximum and minimum values on the graph. Then find the intervals where the graph is increasing, decreasing and/or constant. Lastly, determine if the function is one-toone. 3f. Increasing: Increasing: Decreasing: Decreasing: Constant: Constant: One-To-One: One-To-One: 3g. 3h. Increasing: Increasing: Decreasing: Decreasing: Constant: Constant: One-To-One: One-To-One: