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Which statement is a correct interpretation of the vertical line test?
A-If there exists a vertical line that intersects the graph at exactly one point, the graph represents a function.B-If there exists a vertical line that intersects the graph at exactly one point, the graph does not represent a function. C-If there exists a vertical line that intersects the graph at more than one point, the graph represents a function.-DIf there exists a vertical line that intersects the graph at more than one point, the graph does not represent a function
A function will always be a vertical line?
A function can never be a vertical line, because it then fails the definition of a function: every x value outputs only 1 y value. The vertical line test will determine if a relation is a function. If a vertical line intersects the graph of the function at more than one place, it is not a function.
If a vertical line drawn through a graph crosses it only once the relation is a function?
true
How do you use a vertical line test to determine if a graph represents a function?
A vertical test line is useful because, by definition, a function has one and only one result value for each input value. If you can find a vertical line that intersects the curve of the line, then it is not a function. A simple example is a circle.
What is an example of an x -intercept?
An x-intercept is the point where a function intersects the x-axis on a Cartesian coordinate plane. For example, if the graph of a parabola is plotted and the graph intersects the x-axis on the coordinate plane, the point(s) where the graph intersects the x-axis are the x-intercepts for that 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 do you say that graph is function?
A graph is a function if any vertical line intersects it at most once.
Which statement is a correct interpretation of the vertical line test?
A-If there exists a vertical line that intersects the graph at exactly one point, the graph represents a function.B-If there exists a vertical line that intersects the graph at exactly one point, the graph does not represent a function. C-If there exists a vertical line that intersects the graph at more than one point, the graph represents a function.-DIf there exists a vertical line that intersects the graph at more than one point, the graph does not represent a function
Is a graph a relation or function?
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.
How can you determine if a relationship between two variables is a function from a graph?
The relationship is a function if a vertical line intersects the graph at most once.
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.
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.
A function will always be a vertical line?
A function can never be a vertical line, because it then fails the definition of a function: every x value outputs only 1 y value. The vertical line test will determine if a relation is a function. If a vertical line intersects the graph of the function at more than one place, it is not a function.
A graph is not a function if the vertical line intersects the graph at more than point?
Not calculus, but correct. This is known as the vertical line test and is used to teach the basics of defining a function.
How do you determinate whether a graph of a mathematical relationship 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.
How do you determine whether a graph of a mathematical relationship 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.
What is the horizantal line test and vertical line test?
Horizonatal line test is a test use to determine if a function is one-to-one. If a horizontal line intersects a function's graph more than once, then the function is not one-to-one. A one-to-one function is a function where every element of the range correspons to exactly one element of the domain. Vertical line test is a test used to determine if a function is a function or relation. If you can put a vertical line through graph and it only hits the graph once, then it is a function. If it hits more than once, then it is a relation.
