Find the equation of the exponential function represented by the table below:

Given:

The most basic form to write an exponential function is . Where is when . We can see from the given Table of Values that at , . So, . The is the common ratio and can be calculated by , where is when .

Solving for the Common Ratio:

Now we know what and are. We can finally write the equation of the exponential function depicted by the table.

The equation is

step-by-step explanation:

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