Answer:
Explanation:
y = -5x² - 4x + 1 is a quadratic and thus is defined on the domain "all real numbers." Because of the negative sign in front of the x^2 term, we know that this parabolic curve opens downward. The x-coordinate of the vertex is x = -b/[2a], which in this case is x = 4/[2*-5], or -4/10, or -2/5. Using synthetic division to determine the y-coordinate of the vertex, we get vertex (-2/5, 9/5). 9/5 is the maximum y value. The range is (-infinity, 9/5].