Determine which graph shows y as a function of x

Posted By Admin @ November 26, 2022

Question:

Determine which graph shows y as a function of x.

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).

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