What makes a function one-to-one is when it passes both the vertical and horizontal line test. For example, f(a)=f(b) which means that a=b , then f is 1-1. Another example of a one-to-one function is f(x)= x^3. Then there are those that are not on-to-one functions. Two examples are f(x)=|x|and f(x)=x^2. With a horizontal line test and its connection to one-to-one functions. If a horizontal line passes through a function’s graph more than once it is not one-to-one. The following graph shows an example of how a horizontal line test works. The first graph is the one-to-one function passing the line test and the second one is it failing the line test. The function is not supposed to pass through the horizontal line more than once.

**End your blog post with a** **question**: After reading my blog. What can you take with you and apply it to the class? Did this blog help you understand what a one-to-one function is?

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