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urp:algebra [2021-12-19]
nerf_herder [Functions]
urp:algebra [2021-12-19]
nerf_herder [Functions]
Line 76: Line 76:
   * 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
-  ​* oblique (diagonal) - approaches the line y = mx+b +    ​ if n > k : no HA 
-    * look halfway down the page here: https://​www.mathsisfun.com/​algebra/​rational-expression.html +      * if n = k+1 : oblique (diagonal) ​asymptote ​- approaches the line y = mx+b (from polynomial long division) 
-    * if power of x in numerator > power of x in denominator:​ asymptote = 0 +      if n > k+1 : no asymptote 
-    * if power of x in numerator = power of x in denominator:​ asymptote = horizontal, not zero (ratio of largest coefficients) + 
-    * if power of x in numerator = 1 less than power of x in denominator:​ asymptote = oblique (definition of line, from polynomial long division) +look halfway down the page here: https://​www.mathsisfun.com/​algebra/​rational-expression.html
-    * if power of x in numerator > 1 less than power of x in denominator:​ asymptote = none+
  
 ====Interest,​ half life, amortization==== ====Interest,​ half life, amortization====
urp/algebra.txt · Last modified: 2022-02-01 by nerf_herder