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.   tumblr_inline_o2lmy40OUw1s6kzh8_1280The 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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