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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