SOLUTION: Determine the domain and range: y=5x squared +5.

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Question 541035: Determine the domain and range: y=5x squared +5.
Answer by jim_thompson5910(35256) About Me  (Show Source):
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The domain of ANY polynomial is the set of all real numbers.


So the domain of y=5x%5E2%2B5 is the set of all real numbers.

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The range of y=a%28x-h%29%5E2%2Bk is y%3E=k when a%3E0


We can rewrite y=5x%5E2%2B5 into y=5%28x-0%29%5E2%2B5 and we can see that a+=+5, h=0 and k=5


Since a+=+5 (which is greater than zero), and k+=+5, this means that the range is y%3E=5


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