RATIONAAL FUUNC

Cards (5)

  • Rational function
    A function that is the ratio of two polynomials
  • Rational function properties
    • Graph
    Domain (values of x that don't make the denominator zero)
    1. intercepts (set y = 0 and solve for x)
    2. intercept (set x = 0)
    Zeros (same as x-intercepts)
    Vertical asymptotes (values of x that make the denominator zero)
    Horizontal asymptotes (y = a/b if degree of numerator < degree of denominator, y = none if degree of numerator > degree of denominator)
    Holes (removable discontinuities where the numerator and denominator have common factors)
  • P(x)/q(x) rational
  • domain:
    set deno to zero
  • HA
    dn<dd , y=0
    dn=dd, y= a/b
    dn>dd, y= none