Question

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Does this graph represent a function? Explain.
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This is a function because it passes the vertical line test.

This is not a function because it fails the vertical line test.

This is not a function because the line passes through the
-axis.

This is a function because all linear equations are functions.

Answer 1

This is not a function because it fails the vertical line test.

A function gives exactly one y-value for each x-value. A vertical line has the same x for many y-values, so a vertical line intersects a vertical test line at more than one point — therefore it is not a function.