We want to determine which of the given graphs represents y as a function of x.
The correct options are the two linear relations. (second and third graphs).
Let's see how to get the answer.
A function is a relation that maps elements from one set (the domain, set of the x-values in this case) into elements of another set (the range, set of the y-values). Such that each element from the domain can be mapped into only one value of the range.
By that definition, and knowing that y is represented by the vertical axis, if for a given graph we draw a vertical line and it intersects the graph in two points, then we can conclude that the graph does not represent a function, because it has two different y-values for the same x-value.
By that criteria, we can discard the parabola and circle.
Then the two correct options are the horizontal line and the increasing linear equation (second and third graphs).
If you want to learn more, you can read:
https://brainly.com/question/22421166
