Use the graph of to determine whether the function has an inverse function.

Question

Use the graph of  to determine whether the function has an inverse function.

Quizplus · Accepted Answer

A function has an inverse function if and only if every horizontal line intersects the graph of the function at most once. In the given graph, there are horizontal lines that intersect the graph at more than one point, for example the horizontal line passing through the point (1, 2) intersects the graph at two different points. Therefore, the function does not have an inverse function.

Use the Graph of to Determine Whether the Function