Determine whether the graph is the graph of a function.
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A) function
B) not a function

Question

Determine whether the graph is the graph of a function.
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A) function 
B) not a function

Quizplus · Accepted Answer

The graph fails the vertical line test, as there are vertical lines that cross the graph at more than one point, which means there are multiple outputs for a single input, violating the definition of a function. Therefore, the graph is not a function. The graph intersects itself at several points, which means that for certain values of x, there are multiple corresponding y values. Therefore, it fails the vertical line test and is not a function.

Determine Whether the Graph Is the Graph of a Function