Part 1: Given a rational function, graph it and identify ALL key characteristics. 1. y = 2. у‑ 3x-6 1. Zeros 2. Vertical Asymptotes 3. Horizontal Asymptotes 4. Holes 5. Slant Asymptotes For each of the above characteristics (1-4) from part a, explain how the characteristic of the graph can be predicted using the algebraic form. You should write at least one separate sentence for each characteristic. If your graph/function did not have that characteristic, explain why.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Part 1: Given a rational function, graph it and identify ALL key characteristics.
1. y =
x+2
2. y =;
3x-6
x+2
1. Zeros
2. Vertical Asymptotes
3. Horizontal Asymptotes
4. Holes
5. Slant Asymptotes
For each of the above characteristics (1-4) from part a, explain how the characteristic of
the graph can be predicted using the algebraic form. You should write at least one
separate sentence for each characteristic. If your graph/function did not have that
characteristic, explain why.
Transcribed Image Text:Part 1: Given a rational function, graph it and identify ALL key characteristics. 1. y = x+2 2. y =; 3x-6 x+2 1. Zeros 2. Vertical Asymptotes 3. Horizontal Asymptotes 4. Holes 5. Slant Asymptotes For each of the above characteristics (1-4) from part a, explain how the characteristic of the graph can be predicted using the algebraic form. You should write at least one separate sentence for each characteristic. If your graph/function did not have that characteristic, explain why.
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