# Investigation of Exponential Functions

## Properties of the exponential function

Using the applet below to investigate the exponential function, try and find the functions following properties: domain, range, y-intercept, any asymptotes, or any other distinct properties of the curve.
What happens when a = 1, a < 1 or a > 1?

## Transformations with exponential functions.

Using the following applet and its sliders.
Can you work out how to transform the exponential function.
How is the function translated horizontally, translated vertically, reflected through the x-axis, reflected through the y-axis, stretched or compressed vertically, or stretched or compressed horizontally?

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