How can we visually determine if a line is a function?
To visually determine if a line is a function, you can use the vertical line test
To visually determine if a line is a function, you can use the vertical line test. The vertical line test is a visual way to determine if a relation is a function or not.
Here’s how you can perform the vertical line test:
1. Plot the given line on a coordinate plane.
2. Imagine or draw vertical lines passing through different points on the graph.
3. If any vertical line intersects the graph at more than one point, then the line is not a function.
4. However, if every vertical line intersects the graph at most once, then the line is a function.
To summarize, if no vertical line intersects the line at more than one point, the line is a function. In other words, each x-value on the line corresponds to a unique y-value.
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