Explain why is there no horizontal line tests for functions?
Calculation:
A relation is a function if each x -values have a unique y -values.
In case of horizontal line, the points on the line have same y -coordinates and different x -coordinates. It means we cannot be able to predict if the relation is a function or not. This is the reason we do not use horizontal line test to predict if the relation is a function.
To check if the relation is a function, we perform vertical line test which is stated below.
Vertical line test:
The graph of a relation is a represents a function if a vertical line intersects the graph at exactly one point. If the vertical line intersects the graph of the relation at more than one point, then the relation will not be a function.
Chapter 2 Solutions
High School Math 2015 Common Core Algebra 2 Student Edition Grades 10/11
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