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Answer:

  y = -2·(1/2)^x

Step-by-step explanation:

The general form of the equation can be written as ...

  y = a·b^x

where 'a' is the value of the y-intercept, and 'b' is the ratio of y-values for x-values that differ by 1.

From your table and graph, a = -2. From the table, ...

  b = -1/-2 = 1/2

Then the exponential equation is ...

  y = -2·(1/2)^x

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