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What is the range of the function f(x) = 3- 2\cdot 51^x? Give your answer as an interval. 

Please enter your response in interval notation. Refer to Formatting Tips below for detailed instructions on formatting your response.

 Dec 11, 2014

Best Answer 

 #1
avatar+23254 
+6

As  x→∞,  51x→∞  and  2·51x→∞. Subtracting this from 3 gives values that approach -∞.

As  x→-∞,  51x→0  and  2·51x→0.  Subtracting this from 3 gives values that approach (but does not quite reach) 3.

The range is  (-∞, 3)

 Dec 11, 2014
 #1
avatar+23254 
+6
Best Answer

As  x→∞,  51x→∞  and  2·51x→∞. Subtracting this from 3 gives values that approach -∞.

As  x→-∞,  51x→0  and  2·51x→0.  Subtracting this from 3 gives values that approach (but does not quite reach) 3.

The range is  (-∞, 3)

geno3141 Dec 11, 2014

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