2 02 Quadratic Equations Find the Domain and Range y=x^24x3 y = x2 4x 3 y = x 2 4 x 3 The domain of the expression is all real numbers except where the expression is undefined In this case, there is no real number that makes the expression undefined Interval Notation (−∞,∞) ( ∞, ∞) Set Builder Notation {xx ∈ R} { x x ∈ ℝ } y = f ( x) = − x 2 4 x − 3 The given function is a polynomial of degree 2 in x f ( x) is defined for all x ∈ R, so the domain of f = R Again, y = − x 2 4 x − 3 y = − ( x 2 − 4 x 3) y = − ( x − 1) ( x − 3) y = ( x 1) ( x − 3) functions Y=x^2-4x+1 domain and range