I need help with my delta math

The graph represents a function.

A function is a relation in which no two ordered pairs have the same first component (x-values or input) and different second components (y-values or output).

Remember that a function can only take on one output for each input.

The Vertical Line Test allows us to know whether or not a graph is actually a function. If a vertical line intersects the graph in all places at exactly one point, then the relation is a function.

To use the vertical-line test, imagine dragging a ruler held vertically across the
graph from left to right. If the graph is that of a function, the edge of the ruler would hit the graph only once for every x -value.

Attached is a screenshot of your given graph where I did the Vertical Line Test. It shows that each vertical line crosses the graph only once (marked by the red dots on the each line)

Therefore, the graph represents a function.

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