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Does not represent a function
- If the vertical line only intersects with the graph one time at any given point, then the graph represents a function. However, if the vertical line intersects with the graph at any point more than once, then the graph does not represent a function.
www.mashupmath.com › blog › vertical-line-test-explainedThe Vertical Line Test Explained in 3 Easy Steps - Mashup Math
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If a vertical line intersects the graph of a relation at exactly one point, it implies that a single [latex]x[/latex]-value is only paired to a unique value of [latex]y[/latex]. On the other hand, if the vertical line intersects the graph more than once, this suggests that a single [latex]x[/latex]-value is being associated with more than one ...
Nov 11, 2022 · If your vertical line intersects the graph more than once at any point, the relation is not a function. We can apply the vertical line test to the graphs from Figure 05 and Figure 06 below to confirm what we already knew (that one graph represents a function and the other does not).
Oct 6, 2021 · If any vertical line intersects the graph more than once, then the graph does not represent a function. If an algebraic equation defines a function, then we can use the notation \(f (x) = y\). The notation \(f (x)\) is read “ f of x ” and should not be confused with multiplication.
Aug 24, 2022 · If a vertical line can be drawn that intersects the graph at more than one spot, then this means that there is an \(x\) value that corresponds to multiple \(y\) values so the graph cannot represent a function. Let's try this out on some examples!
Thus if a vertical line intersects the graph at more than a point, then it is interpreted as a function having more than one output, which shows it cannot be a function.
If any vertical line intersects the graph in more than one point, the graph does not represent a function. Vertical Line Test A set of points in a rectangular coordinate system is the graph of a function if every vertical line intersects the graph in at most one point.
If any vertical line intersects a graph more than once, the relation represented by the graph is not a function. Notice that any vertical line would pass through only one point of the two graphs shown in parts (a) and (b) of Figure 12 .
