
If every horizontal line intersects the graph of a function at no more than one point, then is a(n) ______ function.

To fill: If every horizontal line intersects the graph of a function at no more than one point, then is ----------- function.
Answer to Problem 6AYU
Solution:
one – to – one.
Explanation of Solution
Calculation:
By definition of Horizontal-line Test, if every horizontal line intersects the graph of a function in at most one point, then is one-to-one.
The reason why this test works can be seen, where the horizontal line intersects the graph at two distinct points, and . Since h is the image of both and and , is not one-to-one. Based on the horizontal-line test can be stated in another way: If the graph of any horizontal line intersects the graph of a function at more than one point, then is not one-to-one.
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