The graph of the function f(x) = –(x + 6)(x + 2) is shown below. Which statement about the function is true? The function is increasing for all real values of x where x < –4. The function is increasing for all real values of x where –6 < x < –2. The function is decreasing for all real values of x where x < –6 and where x > –2. The function is decreasing for all real values of x where x < –4.
Accepted Solution
A:
From the attached graph, we see that f(x) is increassing in (- ∞ , -4), and f(x) is decreasing in ( -4, ∞ ) therefore The function is increasing for all real values of x where x < –4. TRUE The function is increasing for all real values of x where –6 < x < –2. (FALSE, f(x) is positive in this range) The function is decreasing for all real values of x where x < –6 and where x > –2. (FALSE, f(x) is negative in this range) The function is decreasing for all real values of x where x < –4. (FALSE, f(x) is decreasing ∀ x>-4