Term
| How to Find the Domain of Rational Functions? |
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Definition
1.) Factor the Denominator
2.) Place Both Factors Equal to Zero
3.) Solve for the Zeros
4.) Write the Zeros in Interval Notation |
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Term
| How to Find Vertical Asymptotes? |
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Definition
1.) Factor the Numerator (If Possible)
2.) Eliminate Common Factors In the Numerator and Denominator to Find a Hole in the Graph, if so there is no vertical asymptote (If Possible)
3.) Set denominator equal to zero
4.) Solve for Variable
5.) Your Answer is a Vertical Asymptote Only If it Is a Real Zero |
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Term
| How to Find Horizontal Asymptotes? |
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Definition
Rule 1: m=n then y=an/bm
Rule 2: m>n then y=0
Rule 3: m[There Is No Horizontal Asymptote] |
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Term
| How to Graph a Rational Function? |
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Definition
1.) If your numerator has no real zeroes there are no x-intercepts, if there are then there are x-intercepts
2.) Replace all the x's in the rational function with zeros, this is how you find the y-intercept.
3.)Find the horizontal asymptotes
4.)Find the Vertical asymptotes
5.)Separate Your Graph Into Sections Where It Either Approaches Infinity or Negative Infinity Depending on Your Horizontal Asymptotes and your zeros. Choose three point on the line and see which infinity it approaches by plugging it into the rational function one at a time. This will determine the sections of the graph where it does and does not approach infinity.
6.) Graph |
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Term
| What is an Oblique Asymptote? |
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Definition
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