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urp:algebra
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| Both sides previous revision Previous revision Next revision | Previous revision Last revision Both sides next revision | ||
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urp:algebra [2021-12-19] nerf_herder [Arithmetic Sequences] |
urp:algebra [2021-12-19] nerf_herder [Functions] |
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| Graphing an inverse: reflection of the graph about the line y=x | Graphing an inverse: reflection of the graph about the line y=x | ||
| - | **horizontal and vertical asymptotes:** | + | **asymptotes** |
| y = (quadratic1 of x) / (quadratic2 of x) | y = (quadratic1 of x) / (quadratic2 of x) | ||
| * vertical asymptotes (VA) are when denominator goes to zero | * vertical asymptotes (VA) are when denominator goes to zero | ||
| * horizontal asymptotes (HA) is when x goes to infinity, look at highest order of x in numerator and denominator: | * horizontal asymptotes (HA) is when x goes to infinity, look at highest order of x in numerator and denominator: | ||
| * y = axⁿ / bxᵏ | * y = axⁿ / bxᵏ | ||
| - | * if n > k : no HA | ||
| * if n < k : HA = 0 | * if n < k : HA = 0 | ||
| * if n = k : HA = a/b | * if n = k : HA = a/b | ||
| + | * if n > k : no HA | ||
| + | * if n = k+1 : oblique (diagonal) asymptote - approaches the line y = mx+b (from polynomial long division) | ||
| + | * if n > k+1 : no asymptote | ||
| + | |||
| + | look halfway down the page here: https://www.mathsisfun.com/algebra/rational-expression.html | ||
| ====Interest, half life, amortization==== | ====Interest, half life, amortization==== | ||
urp/algebra.txt · Last modified: 2022-02-01 by nerf_herder
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