Yes
Functions are relations that express a rule between the x-values and the y-values.
What Makes a Function
Functions are types of relations, specifically, where the x-values do not repeat. This means that each x-value has exactly one y-value. So, if the x-values do not repeat in a relation, then it must be a function.
How To Find a Function From Coordinates
In the question, we are given 4 different coordinate points. The points have 4 x-values, none of which repeat. This means that the relationship must be a function.
To find a function from points, all you need to do is check that the x-values do not repeat.
How To Find a Function From a Graph
If you are given a continuous graph, another way to figure out if it is the vertical line test. The vertical line test is when you draw vertical lines across the graph. If you are able to draw a vertical line everywhere on the graph without the line intersecting with the graph more than once, then it is a function. However, if the line intersects with the graph more than once at any point, then it is not a function.
