Vertical Line Test: Is This Curved Graph a Function?

Question

Determine whether the given graph is a function?

00:00 Is the given graph a function?

00:05 The definition of a function is that each X value has one Y value

00:09 Let's check the graph values in the table

00:18 We can see that each value has only one Y value, therefore it's a function

00:24 And this is the solution to the question

It is important to remember that a function is an equation that assigns to each element in domain X one and only one element in range Y

We should note that for every X value found on the graph, there is one and only one corresponding Y value.

Therefore, the graph is indeed a function.

Yes