anonymous
  • anonymous
Identify the vertical and or horizontal asymptotes for each function y=5x/x-1
Mathematics
katieb
  • katieb
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Directrix
  • Directrix
y=5x/(x-1) To get the vertical asymptote, set the denominator equal to 0 and solve for x. x - 1 = 0 x = 1 which is a vertical line passing through the point (1,0) and perpendicular to the x-axis. The graph of the function does not intersect the vertical asymptote.
Directrix
  • Directrix
To get the horizontal asymptote, take the dominant term of the numerator, 5x, and divide by the dominant term of the denominator, x. 5x/x = 5 and the equation of the horizontal asymptote is y = 5.
Directrix
  • Directrix
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