Concept explainers
To calculate: To name a linear equation that is not a function.
Answer to Problem 38HP
Only linear equations which are NOT functions are vertical lines themselves.
Explanation of Solution
Given information: Linear equation that is not a function
Formula Used:
Vertical line test: Given a graph, if one draws 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:
Consider a linear equation
Graph of the above equation is as follow:
There the graph itself is a vertical line. Thus, any other vertical line crossing the graph will overlap the graph
Conclusion:
Hence, only linear equations which are NOT functions are vertical lines themselves.
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