A relation is when you have more than one Y value for one X value for example Y=(square root) of X

if X is 4, Y can be either 2 or -2, therefore its a relation because there is MORE than one value of Y for one value of X.

The vertical line test is basiclly, if you have a graph of somesort u take a vertical line or something like a ruler(or pencil) then u carry it accross (horizontally) along the X axis if the line that was made by the graph thouches the vertical line(ruler or pencil) in more than one point then its a realtion if through out the entire test it touches only one point its a function.

hope this helped 🙂

(Abbr. f) Mathematics.

A variable so related to another that for each value assumed by one there is a value determined for the other.

A rule of correspondence between two sets such that there is a unique element in the second set assigned to each element in the first set.

do·main (dō-mān’)

Mathematics.

The set of all possible values of an independent variable of a function.

An open connected set that contains at least one point.

range

In mathematics, the range of a function is the set of all “output” values produced by that function. Sometimes it is called the image, or more precisely, the image of the domain of the function.

vertical line test

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The vertical line test, shown graphically.The Vertical Line Test is a test to determine if a relation or its graph is a function or not. For a relation or graph to be a function, it can have at most a single y-value for each x-value. Thus, a vertical line drawn at any x-position on the graph of a function will intersect the graph at most once.

To use the vertical line test graphically, take a ruler or other “vertical line” and move it from one end of the x axis to the other. If the graph intersects the ruler or vertical line more than once at any given point, the graph is not a function. However, if the graph intersects the vertical line only once at any given point, it is a function.

Functions are equations were F(x) is equal to something. If you are given a problem that says find F(x) for 9 or something, you just plug 9 in for the x value of that function.

Domain is just the X values in a set of points.

Range are the Y values in a set of points.

The vertical line test is a simple way of telling if a graph is a function or not. If you have a circle, for example, as your graph, it will NOT pass the vertical line test because there would be more than 1 of the same values for X. If you have a straight line, it will be a function because there will be different X values for every Y value. You cannot have 2 or more of the same domain values for a function.

Relations is any graphs that doesn’t pass the vertical line test.

Domain is the x axis.

For example, x+3 Domain: (all real numbers)

Range is the y axis.

Vertical line test whether the graph is a function. If it passes more then one point on the graph, it is not a function.

Horizontal line test if the function if one to one and can’t pass more than one point.