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Sagot :
Use the vertical line test to determine whether a graph represents a function or not .
If a vertical line is moved across the graph and, at any time, touches the graph at only one point, then the graph is a function. If the vertical line touches the graph at more than one point, then the graph is a relation but not a function.
A function can only have one output, y, for each unique input, x. If a vertical line intersects a curve on an xy-plane more than once then for one value of x the curve has more than one value of y, and so, the curve does not represent a function.
what is function?
function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Therefore, a relation which maps a given input to more than one output is not a function, as such, given that the line intercepts the vertical line twice, then for a given value of x, which is the input, there are more than one value of y, which is the output, as such the relation is not a function.
To learn more about Functions
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