Solution assignment 02 Exponential functions and graphs

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Assignment 2

Draw the graph of the function:

y=2^x-2

What is the formula of the asympote?

Solution

2^x-2

The graph shows clearly that the y=-2 is an asymptote. This can also be derived from the function. The more negative x becomes, the closer the exponential function approaches 0 and the graph as a whole becomes closer to -2.

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