Answer:
A) The function is increasing for all real values of x where x < -4.
Step-by-step explanation:
The graph of the quadratic function f(x) = -(x + 6)(x + 2) is attached.
It is a downward-opening parabola that intersects the x-axis at (-6, 0) and (-2, 0), with its maximum (vertex) at (-4, 4).
A function is increasing when its slope is positive, meaning that as x increases, y also increases. Therefore, the interval over which the graphed function is increasing is x < -4.
A function is decreasing when its slope is negative, meaning that as x increases, y decreases. Therefore, the interval over which the graphed function is increasing is x > -4.
Therefore, the true statement is:
[tex]\large\boxed{\textsf{The function is increasing for all real values of $x$ where $x < -4$.}}[/tex]
