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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.
What test tells if a relation is a function?
To determine if a relation is a function, you can use the "vertical line test." If any vertical line drawn on the graph of the relation intersects the graph at more than one point, then the relation is not a function. Additionally, in a set of ordered pairs, a relation is a function if each input (or x-value) corresponds to exactly one output (or y-value).
What are some ways to tell if a relation is a function?
A relation is a function if each input (or domain value) is associated with exactly one output (or range value). To determine this, you can check if any input value appears more than once in the relation; if it does, the relation is not a function. Additionally, in a graph, a relation is a function if it passes the vertical line test—if any vertical line intersects the graph at more than one point, 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.
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.
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.
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
