Solution assignment 07 Exponential functions and graphs

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Assignment 7

Draw the graph of the function:

y=-2^{2x-1}

What is the formula of the asymptote?

Solution

First we look at the function:

y=2^{2x-1}

This is a function with a shifted graph of:

y=2^x

We can sketch the graph of this function quite easily. Square its graph, shift it to the right and divide the result by 2. When we mirror this function in the X-axis we get the final result. The X-axis, i.e. y=0 is the asymptote of the graph.

-2^(2x-1)

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