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Which graph shows a set of ordered pairs that represent a function?

Which graph shows a set of ordered pairs that represent a function?-example-1

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Answer:

Graph C

Explanation:

A function is a specific type of algebraic relationship.

Functions

A function is a relationship where each input has a single output. Rember that the inputs are the x-values and the outputs are the y-values. So, in a function, x-values do not repeat. It is important to note that in a function, y-values can repeat. It is only x-values that have to be unique. If one input produces 2 or more outputs, then the relationship is not a function.

Finding Functions

On a graph, we can find functions through the vertical line test. The vertical line test is a visual way of determining if a graph shows a function. If you can draw a vertical line anywhere on the graph and have it intersect with multiple points, then it is not a function.

We can look at the top right graph for an example of this. For this explanation, I will call the top right graph, graph C. On this graph, there is no place where we can draw a vertical line that intersects with multiple points. We can see that x-values never repeat on graph C. So, graph C does represent a function.

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