Question

Which of these relations is a function?

Answer 1

Graph D is a function because it passes the vertical line test

Vertical Line Test

A vertical line test helps to find if the graph is a function or not. The vertical line in a coordinate system represents a set of infinite points having the same x coordinate values and different y coordinate values for each of its points. The vertical line is drawn parallel to the y-axis, if it cuts the curve at one distinct point then it has one y-value for the given x value and it follows the basic definition of a function.

Applying the vertical line test in the graphs given, only graph D is a function.

Learn more on vertical line test here;

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