The correct statement about the given function is: The function is increasing for all real values of x where x < –4.
In this question, we have been given the graph of the function
f(x) = -(x + 6)(x + 2)
According to description of the graph of given function f(x), the graph of function is a parabola and on a coordinate plane, a parabola opens down.
Also, the parabola goes through (-6, 0), has a vertex at (-4, 4), and goes through (-2, 0).
We need to find to the correct statement about the function.
f(x) = -(x + 6)(x + 2)
The function is increasing until it reaches the vertex x = -4.
The function will decrease after the vertex, so after x = -4 function decreases.
increasing: -∞ < x < -4
decreasing : -4 < x < ∞
Therefore, the correct statement about the given function is: The function is increasing for all real values of x where x < –4.
Learn more about the function here:
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