If you were to attempt graphing the 2 rational functions in the picture shown below, you must carefully go through the steps of the graph before you can actually graph your equation. The first equation is called a removable discontinuity meaning you can factor, and cancel 2 of the same factors on the numerator, and denominator. This makes a hole in the graph at that point. The vertical asymptote is -1 because if you plug it in for X the numerator is 0. The horizontal asymptote is non existent because the numerator has a higher degree than the denominator. The y intercept can be found by plugging in a 0 for x and then simply solving. The x intercept is what ever makes the numerator 0, in this case it be 4. Lastly a table of values can really help plot the points on the graph, but don't forget your vertical asymptote can't be an X value!
The second function has different steps to solving. It does not have any holes because nothing is factored out, use all the same steps to find your vertical, horizontal asymptotes, as well as your x, and y intercepts. The graph looks a little funky also, see graph below for questions.
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