# What is the domain and range of #y = x ^2 - x + 5#?

##### 1 Answer

Feb 3, 2016

Domain =

Range =

#### Explanation:

This is a 2nd degree quadratic equation so its graph is a parabola with arms going up since the coefficient of

But

Hence the domain is all allowed input x-values and is thus all real numbers

The range is all allowed output y values and is hence all y-values bigger than or equal to

The plotted graph verifies this fact.

graph{x^2-x+5 [-13.52, 18.51, -1.63, 14.39]}