The graph shows the equation x=y^2 use the slider for a to move the vertical line on the graph. According to the vertical line test, is this equation a function why or why not?
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Explanation
We are given the equation:
[tex]x=y^2[/tex]We are to use the vertical line test to determine if the equation is a function or not
The vertical line test is a graphical method of determining whether a curve in the plane represents the graph of a function by visually examining the number of intersections of the curve with vertical lines.
The typical example below helps give a better explanation
So for the function
[tex]x=y^2[/tex]We can observe that the equation is not a function because the vertical line cuts the graph in more than one point
This is shown below for values of x = and x =8