Question

The graph of the function f(x) = (x + 2)(x + 6) is shown below. Which statement about the function is true?

a.The function is positive for all real values of x where x > –4.
b.The function is negative for all real values of x where –6 < x < –2.
c.The function is positive for all real values of x where x < –6 or x > –3.
d.The function is negative for all real values of x where x < –2.

Answer 1

the answer choice is b

Answer 2

The x intercepts are x = -6 and x = -2. This is where the graph crosses the horizontal x axis. The portion of the graph below the x axis is the region from x = -6 to x = -2. In other words, if x is between -6 and -2 (excluding both endpoints), then you'll be on a point that is below the x axis. This point is on the parabola.

So that's why the answer is choice B.