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14) draw a graph of a relation that is not a function. (2 pts.)

Question

  1. draw a graph of a relation that is not a function. (2 pts.)

Explanation:

Step1: Recall function test rule

A relation is not a function if it fails the Vertical Line Test: a vertical line intersects the graph at more than one point.

Step2: Choose a non-function relation

A vertical line (e.g., $x=2$) is a simple example. For this line, the input $x=2$ has infinitely many output $y$-values.

Step3: Plot the relation

On the grid, draw a straight vertical line passing through $x=2$ (all points where $x=2$, for any $y$ value).

Answer:

A vertical line (e.g., the line defined by $x=2$) drawn on the provided coordinate grid. This graph fails the Vertical Line Test, so it represents a relation that is not a function.