Graphing reciprocals of linear functions - Reciprocal Functions

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Graphing reciprocals of linear functions

We know that taking the reciprocal of a very large number will grant us a very small number. Conversely, if we take the reciprocal of a very small number, we will obtain a very small number. What will happen if we take the reciprocal of a linear function? In this section, we will learn about the concept behind the reciprocal of a linear function, as well as how to graph it, while following the "5-steps Approach" noted below.

Lessons

Notes:
Steps to graph the reciprocal of a function:
1) Plot a horizontal asymptote
at
y=0y=0
2) Plot vertical asymptote(s)
equate the original function to 0; solve for xx
3) Plot y-intercept(s)
1y-intercept(s) of the original function\frac{1}{\text {y-intercept(s) of the original function}}
4) Plot invariant points:
equate the original function to +1 and -1; solve for xx
5) Place your pen at the invariant points, then smoothly move away while tracing along the asymptotes!
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Graphing reciprocals of linear functions

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