SOLUTION: What is the value of the range of the function f(x) = x squared + 2 for the domain value 1/4 ?

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Question 914428: What is the value of the range of the function f(x) = x squared + 2 for the domain value 1/4 ?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Plug in x+=+1%2F4 and evaluate

f%28x%29+=+x%5E2+%2B+2

f%281%2F4%29+=+%281%2F4%29%5E2+%2B+2

f%281%2F4%29+=+1%2F16+%2B+2

f%281%2F4%29+=+1%2F16+%2B+2%2A%2816%2F16%29

f%281%2F4%29+=+1%2F16+%2B+32%2F16

f%281%2F4%29+=+%281+%2B+32%29%2F16

f%281%2F4%29+=+33%2F16

The value in the range is 33%2F16

Let me know if you need more help or if you need me to explain a step in more detail.
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Thanks,

Jim