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Maths

Cubic graphs and graphs of circles - Higher

Graphs of y = k to the power of x

To plot the graph of y = 2x first find some coordinates:

 

x-2-1012345
y = 2x0.250.512481632

If we plot these points, we can see that the graph of y = 2x never falls below the x axis, and (when x is positive) the y values increase rapidly.

image: graph showing y = 2 to the power of x

This is an example of an exponential graph (hence the term 'exponential growth' to indicate fast growth).

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