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in this video you're going to learn how to graph rational functions step by step by step and this is designed to be a complete guide so if you're new to graphing rational functions or something that you've been struggling with let's dive into three important examples each one's gonna be a little bit different to help you really understand how to do this so the first example number one we have y equals x minus 1 over x squared minus 2x minus 3 so these are called rational functions because you can see now you have a polynomial divided by another polynomial it's a ratio right like a fraction but the first thing that you're going to want to do is you're going to factor this as much as you can the numerator and the denominator so here what we're gonna do is the numerator we really can't factor we're gonna leave that as X minus 1 the denominator though we can factor this as X minus 3 times X plus 1 if you need to review factoring check out my learn how to factor video but this is factored n

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