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The domain of f(x)=−x2−10x−24f(x) = -x^2 - 10x - 24f(x)=−x2−10x−24 is all real numbers: (−∞,+∞)(-\infty, +\infty)(−∞,+∞). The range is (−∞,1](-\infty, 1](−∞,1] since the vertex is at (−5,1)(-5, 1)(−5,1) and the parabola…