Answer:
The given relation is not a function.
Step-by-step explanation:
A relation is any set of ordered pairs, which can be thought of as (input, output).
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).
Given the following relation: {(7, 4), (5, - 1), (3, - 8), (1, - 5), (3, 6)}
There is an input value (x = 3) that has two corresponding outputs (y-values): y = -8 and y = 6.
Remember that a function can only take on one output for each input.
It also helps to do the Vertical Line Test, which 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 the plotted points on a graph, where I performed the Vertical Line Test. The green line is the vertical line that contains two points that made the relation invalid as a function.
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