How do you find the domain and range for $x^2 + 5x + 6$ ?

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Answer 1 · 2015-05-22T18:30:19

$f(x) = x^2 + 5x + 6 = (x + 2)(x + 3)$

Coordinates of vertex (minimum)

$x = -b/21 = -5/2$
$y = f(-5/2) = 25/4 - 25/2 + 6 = -1/4$

Domain for x: (-infinity, +infinity)
Range for y: (-1.4, +infinity)

How do you find the domain and range for x^2 + 5x + 6x^2 + 5x + 6?