GCSE Maths (AQA)

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Shape of an Exponential Graph

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Algebra Graphs

Shape of an Exponential Graph

2:16 More Non-Linear Graphs
Spec A12 A14
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  • Exponential functions include a term with a variable index
  • Algebraically, exponential functions can be written as y = k^x, where k is a positive number and x is the variable index
  • The graph of an exponential function is called an exponential graph
  • When x is very negative, y is very close to zero
  • As x increases, the y values also increase
  • For positive values of x, the curve steeply increases
  • The more positive x becomes, the more steeply y increases
  • For negative values of x, the curve approaches zero but never quite reaches it
  • The graph has a horizontal asymptote at y = 0, which is the algebraic form of the x axis.

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