Use the Horizontal Line Test to determine whether the following statement is true or false.

The function is one-to-one on its entire domain and therefore has an inverse function.

Question

Use the Horizontal Line Test to determine whether the following statement is true or false.
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The function  is one-to-one on its entire domain and therefore has an inverse function.
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Quizplus · Accepted Answer

The Horizontal Line Test is used to check whether a function is one-to-one. If every horizontal line intersects the graph of the function at most once, then the function is one-to-one. In this case, we cannot determine whether the function is one-to-one without knowing what the function is. Therefore, we cannot conclude whether it has an inverse function or not.

Use the Horizontal Line Test to Determine Whether the Following