Rational Graphs Made Easy Find the vertical and horizontal asymptote

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Part 1. Basic Rational Graphs, shift up and down and asymptotes. Find x-intercepts and zeros.
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What if I need to plot 2 points on the graph ? Do I just plug in another number

tangeroongi
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Made it super simple! I’m just struggling with memorizing the H.A. Properties.

Alex-jooi
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I'm confused with the 'plug in'

cymax.