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A graph can represent either a relation or a function, depending on the nature of the relationship between the variables depicted. A relation is simply a set of ordered pairs, while a function is a specific type of relation where each input (or x-value) is associated with exactly one output (or y-value). To determine if a graph represents a function, the vertical line test can be applied: if any vertical line intersects the graph at more than one point, it is not a function.
What else can I help you with?
When is a relation considered to be function?
A relation is a function when an x value only has one y value associated with it. An easy way to tell this is to graph the relation, then draw a vertical line through it. If, at any point, it touches the graph twice, the relation isn't a function.
When can you say that the graph is function or mere relation?
If a vertical line intersects the graph at more than one point then it is not a function.
When is a relation also a function?
A relation is also a function if each member of the domain (or x-coordinate) is paired with only one member of the range (or y-coordinate). If the relation is a set of ordered pairs that consists of real numbers a graph can be created to visualize the relation. If a vertical line can be drawn and only crosses or intersects the graph at one point then the relation is also a function.
Is a relation of function if it's graph intersects the Y axis twice?
No, a relation is not a function if its graph intersects the Y-axis twice. A function is defined as a relation in which each input (x-value) has exactly one output (y-value). If a graph intersects the Y-axis at two points, it means there are two different y-values for the same x-value, violating the definition of a function.
How does you know that relation is a function?
One way is to try the vertical line test on a graph!
How do you determine if a relation represents a function?
If the function is a straight line equation that passes through the graph once, then that's a function, anything on a graph is a relation!
Which of these data sets represents a function?
Does the graph above show a relation, a function, both a relation and a function, or neither a relation nor a function?
When is a relation considered to be function?
A relation is a function when an x value only has one y value associated with it. An easy way to tell this is to graph the relation, then draw a vertical line through it. If, at any point, it touches the graph twice, the relation isn't a function.
When can you say that the graph is function or mere relation?
If a vertical line intersects the graph at more than one point then it is not a function.
If no vertical line intersects the graph of a relation in more than one point then the relation is a function?
True.
When is a relation also a function?
A relation is also a function if each member of the domain (or x-coordinate) is paired with only one member of the range (or y-coordinate). If the relation is a set of ordered pairs that consists of real numbers a graph can be created to visualize the relation. If a vertical line can be drawn and only crosses or intersects the graph at one point then the relation is also a function.
The output of a function or relation The set of y-values that a graph is defined on?
Range
How do you draw a graph of a relation that is not a function?
A graph that is not a function, fails the vertical line test. You can draw it by connected all ordered pair of points in a rectangular coordinate system.
How does you know that relation is a function?
One way is to try the vertical line test on a graph!
Is the relation a function y equals 3x-4?
7
If a vertical line drawn through a graph crosses it only once the relation is a function?
true
How will you determine if a graph is a function or a mere relation?
You use the "vertical line test". If anywhere you can draw a vertical line that goes through two points of the graph, the relation is not a function; otherwise, it is a function. This is just another way of saying that in a function for every x value (input) there is AT MOST one y value (output).
