Question

The graph of the function f(x) = –(x + 3)(x – 1) is shown below. On a coordinate plane, a parabola opens down. It goes through (negative 3, 0), has a vertex at (negative 1, 4), and goes through (1, 0).Which statement about the function is true?The function is positive for all real values of x wherex < –1.The function is negative for all real values of x wherex < –3 and where x > 1.The function is positive for all real values of x wherex > 0.The function is negative for all real values of x wherex < –3 or x > –1.

Answer 1

The graph of the function is shown below:

From it we notice that the function is positive in the interval (-3,1) and negative otherwise. With this in mind we conclude that the true statement is:

The function is negative for all real values of x where x < –3 and where x > 1.