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# Exponentials and Logarithms : Key Stage 5 (AS-Level) : Mathematics Content Knowledge

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Key Stage 5 (AS-Level)
Exponentials and Logarithms
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# 1. How confident are you that you can explain:

## Example

A function of the form y = ax where a is a positive number not equal to 1, is called an exponential function.

Properties of the exponential function and its graph:

• When x = 0, y = a0 = 1 for all values of a, so the graph of an exponential function passes through the point (0,1)
• The x-axis is an asymptote to the curve
• The diagrams below show the different forms of the exponential graph.

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