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not a function, function (with an image of a graph showing a curve open…

Question

not a function, function (with an image of a graph showing a curve opening to the right from the origin, with x and y axes labeled with -4, 0, 4 etc.)

Explanation:

Step1: Recall Vertical Line Test

A relation is a function if every vertical line intersects its graph at most once.

Step2: Apply Vertical Line Test

For the given graph, draw a vertical line (e.g., \(x = 0\) or any vertical line). At \(x = 0\), the vertical line intersects the graph at two points (top and bottom of the curve). So, it fails the vertical line test.

Answer:

Not a Function