Search results
- Answer: 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 the graph above. From this we can conclude that these two graphs represent functions.
www.symbolab.com › study-guides › ivytech-wmopen-collegealgebra
People also ask
What happens if a vertical line intersects a graph more than once?
Does a graph represent a function if a vertical line intersects?
Is a vertical line a function?
Why does a graph have to pass the vertical line test?
If a vertical line intersects the graph in some places more than once, then the relation is NOT a function. Here are some examples of relations that are also functions because they pass the vertical line test.
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).
states that if a vertical line intersects the graph of the relation more than once, then the relation is a NOT a function. If you think about it, the vertical line test is simply a restatement of the definition of a function .
- Using The Vertical Line Test
- Vertical Line Test Practice Questions
- To Sum Up
The test is very quick to use. That’s why it’s so useful! Work through the examples in the next section with this interactive version of the graphs in the examples. Press the play button on the left to make a red vertical line sweep across to help you perform the tests! Turn each graph on or off with the colored circle next to each one on the left.
Now that you’ve seen how the test is applied, it’s time to let loose and try for yourself! Determine which of the following relations are functions by using the vertical line test. Sketch the graphs yourself where possible, but don’t be afraid to check your work. Desmos has an intuitive tool for plottingand is a good website to be familiar with!
A vertical line test is a visual tool that determines whether a relationship is a function. A graph is a function onlyif it passes the test – if every vertical line intersects the graph only at one point. Any graph that fails the test isn’t really a function, it’s a general relation in disguise! Functions must be either one-to-oneor many-to-one. As...
- Jesse Woods
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 13.
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 more than once, then the graph does not represent a function. Figure \(\PageIndex{12}\) The vertical line represents a value in the domain, and the number of intersections with the graph represent the number of values to which it corresponds.
