Q 6. - Precalculus Enhanced with Graphing Utilities

Question

If every horizontal line intersects the graph of a function $f$ at no more than one point, $f$ is $a\left(n\right)$ $\dots \dots \dots \dots$ function. 

Step-by-Step Solution

Answer

If every horizontal line intersects the graph of a function $f$ at no more than one point, $f$ is a one-to-one function.  

Step 1. Definition

The horizontal line test is a method that can be used to determine if a function is a one-to-one function. This means that, for every $y$-value in the function, there is only one unique $x$-value. 

Step 2. Explanation

If every horizontal line intersects the graph of a function $f$ at no more than one point,$f$ is a one-to-one function.