SOLUTION: What is the domain and range for this equation... (2)/(x^(2)+49)??

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Question 640274: What is the domain and range for this equation... (2)/(x^(2)+49)??
Answer by solver91311(24713) About Me  (Show Source):
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To begin with, you don't have an equation. ALL equations have an equals sign in them asserting that one quantity is equal to another. Hence the name, 'equation'. In that you do not have an equation, I'll supply you with one:



The denominator has no real number zeros, so no real numbers are excluded from the domain, hence the domain is all real numbers.

As either increases or decreases without bound, the value of the denominator increases without bound. Hence the limiting value of the function is zero. The smallest value the denominator can assume is when meaning the denominator has the value . This means the largest value the function can attain is

Hence the range is the interval

John

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