Vertical Line Test: Determining if a Linear Graph Represents a Function

Question

Does the graph below represent a function?

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Video Solution

Solution Steps

00:00 Is the given graph a function?
00:05 The definition of a function is that each X value has one Y value
00:10 Let's check the graph values in the table
00:15 We can see that each value has only one Y value, therefore it's a function
00:22 And this is the solution to the question

Step-by-Step Solution

It is important to remember that a function is an equation that assigns to each value in domain x x only one value in range y y .

Since we can see that for every x x value found on the graph there is only one correspondingy y value, the graph is indeed a function.

Answer

Yes