Solution assignment 01 Exponential functions and graphs

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Assignment 1

Draw the graph of the function:

y=3^x

What is the formula of the asymptote?

Solution

The graph can be sketched using the most important and easiest point (0,1). The graph can be sketched quite exact if we use a few other points (x,y), see the figure.

3^x

The graph shows clearly that the X-axis is an asymptote, so y=0. This can also be derived from the function: the more negative x becomes, the more the graph will approach 0.

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