Which statements about the graph of the function f(x) = –x2 – 4x + 2 are true? check all that apply.
the domain is {x|x ≤ –2}.
the range is {y|y ≤ 6}.
the function is increasing over the interval (–∞ , –2).
the function is decreasing over the interval (−4, ∞).
the function has a positive y-intercept.

The domain of the function is all range real number. The range is all real numbers less than or equal to 6. The function is a parabola curving downwards, so the function is increasing over the interval (–∞ , –2) and the function is decreasing over the interval (−4, ∞). When x = 0, the function has both positive and negative y-intercepts.