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Below is the graph of f(x) = (a^x)/b, where a and b are integers. Find a+b.

 

(Each little square measures 1 unit by 1 unit.)

 Sep 11, 2016
 #1
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When x = 2     f(2) = -2      so a^2/b = -2     (1)

 

When x = 3    f(3) = -8       so a^3/b = -8     (2)

 

From (1) b = -a^2/2    (3)

 

Use (3) in (2):   -2a = -8    so    a = 4

 

Use this in (3):   b = -4^2/2    so    b = -8

.

 Sep 11, 2016

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