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How do you find the domain and range of #f(x) = x^2 + 1#?

1 Answer

Feb 16, 2016

Domain: #RR#
Range: #RR >=1#

Explanation:

#f(x)=x^2+1# is defined for all Real values of #x#;
therefore the Domain of #f(x)# is all Real values (i.e. #RR#).

#x^2>=0# for all Real values of #x#
#rarr x^2+1 >=1# for all Real values of #x#
therefore the Range of #f(x)# is all Real values #>= 1#

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