How do you find the domain and range of #y = x^2 - x + 5#?

1 Answer
bp
Apr 9, 2015

Domain is all real numbers and the range is all real numbers #>=# #19/4#.

The easiest way is to rewrite it as y= #(x-1/2)^2# +#19/4#. This represents a parabola opening up with its vertex at ( #1/2#, #19/4#). This clearly depicts the domain as all real numbers (-inf, inf) and range as all real numbers #>=# #19/4# that is [#19/4#, infy)

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