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Graphs of Common Functions 2

Maths: Edexcel A Level Pure Maths, topic 2.5.6

Common Functions

To sketch a graph, look at whether it is exponential, reciprocal or some other type of graph. Then plot some x and y coordinates and join them up in the right shape.

Exponential

Exponential

  • Exponential functions are of the form y = kx or y = k-x.
  • They are completely above the x-axis and go through the point (0, 1).
  • If k > 1 and the power is positive then the graph starts at the bottom left and then has a steep gradient up to the top right.
Reciprocal

Reciprocal

  • Reciprocal graphs never cross the x or y axis. They are only in 2 parts (quadrants) of the graph.
  • They are usually y = a⁄x or xy = a.

Test yourself on Graphs of Common Functions 2

  • What type of graph is this?

  • What type of graph is this?

  • What type of graph is y = 3x?

  • What type of graph is y = 3x?

  • What type of graph is y = 1/x

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