Answer:When a vertical line is placed across the plot of this relation, it intersects the graph more than once for some values of x. If a graph shows two or more intersections with a vertical line, then an input (x-coordinate) can have more than one output (y-coordinate), and y is not a function of x.
Step-by-step explanation:
when a graphed line is vertical, it indicates that the relation is not a function
Graph is a mathematical representation of a network and it describes the relationship between lines and points. A graph consists of some points and lines between them. The length of the lines and position of the points do not matter.
We can visually identify functions by their graphs using the vertical line test. If any vertical line intersects the graph more than once, then the graph does not represent a function.
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.
As we can see, any vertical line will intersect the graph of y=|x|−2 only once.
Therefore, it is a function.
A vertical line can cross the graph of x=|y|+1 more than once.
therefore, it is not a function.
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