If a vertical line, within the domain of the function, intersects the graph in more than one points, it is not a function.
It means that the function is not defined for a part of the domain.
A linear function would be represented by a straight line graph, so if it's not a straight line, it's nonlinear
No vertical line will intersect the graph in more than one point. The fundamental flaw is that no graph can show that it does not happen beyond the domain of the graph.
A formula or graph are two ways to describe a math function. How a math function is described depends on the domain of the function or the complexity of the function.
Reciprocal parent function
point
points
money
mad
point
mad
The practical domain is the domain by simply looking at the function. Whereas the mathematical domain is the domain based on the graph.
Graph each "piece" of the function separately, on the given domain.
A function must have a value for any given domain. For each edge (or interval), the sign graph has a sign (+ or -) . So, it is a function.
If a vertical line, within the domain of the function, intersects the graph in more than one points, it is not a function.
If a vertical line, within the domain of the function, intersects the graph in more than one points, it is not a function.