To calculate: To draw two graphs and explain why each graph is or is not a function.
Answer to Problem 38HP
The set of ordered pairs is a function.
Explanation of Solution
Given information: Two graphs − one that represents a relation that is a function and one that represents a relation that is Not a function.
Formula Used:
Vertical line test: Given a graph, if one draw a vertical line that crosses the graph in more than one place, the relation is not a function, while if the vertical line crosses the graph only at one point, then the relation is a function.
Calculation:
The graph that represent a relation that is a function is as follows:
According to vertical line test, when a vertical line is drawn, it will cross the graph at only one place. Hence the graph is a function
The graph that represent a relation that is NOT a function is as follows:
According to vertical line test, when a vertical line is drawn, it will cross the graph in two places. Hence the graph is not a function
Chapter 8 Solutions
Pre-Algebra, Student Edition
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