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A function describes the relationship between two or more variables. A graph is a kind of visual representation of one or more function. A line or curve seen on a graph is called the graph of a function.
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For any point in the domain, a function can map to only ine point in the range or codomain. In simpler terms, it means that (for a two dimensional graph), a vertical line can intersect the graph of the function in at most one point.
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How can you tell if a graph is a continuous function or a discrete function?
The graph of a continuous function will not have any 'breaks' or 'gaps' in it. You can draw it without lifting your pencil or pen. The graph of a discrete function will just be a set of lines.
How do you tell if a graph is a function?
For a 2-dimensional graph if there is any value of x for which there are more than one values of the graph, then it is not a function. Equivalently, any vertical line can intersect the a function at most once.
How do you determine weather the graph represent a function?
The "vertical line test" will tell you if it is a function or not. The graph is not a function if it is possible to draw a vertical line through two points.
How can you tell by looking at the graph of a function that it is nonlinear?
A linear function would be represented by a straight line graph, so if it's not a straight line, it's nonlinear
What does a vertical line tell you?
A vertical line can be used to test whether or not a graph is a function.
