GCSE Maths (Edexcel)

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Algebra Graphs

Reciprocal Asymptotes

3:15 More Non-Linear Graphs
Spec A12 A14
Previous Kinematic Graphs Next Shape of an Exponential Graph
  • Reciprocal functions approach the axes but never touch them
  • Graph of a reciprocal function such as y equals one over x has two lines of symmetry
  • The graph does not touch the y axis or the x axis
  • The lines that the graph approaches but never touches are called asymptotes
  • The x axis and the y axis can be described as asymptotes
  • Asymptotes move when the graph is translated
  • There is a vertical asymptote on the line x equals 0
  • There is a horizontal asymptote on the line y equals 0
  • The vertical asymptote is where the reciprocal function never meets the y axis
  • The horizontal asymptote is where the reciprocal function never meets the x axis
  • The vertical asymptote is due to the fact that x can never equal 0 in the equation y equals 1 over x
  • The horizontal asymptote is due to the fact that y can never equal 0 in the equation y equals 1 over x

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