Find the descending area of the function
Find the descending area of the function
To solve this problem, we'll determine where the function is decreasing. This function is a parabola of the form , with and .
The vertex of this parabola is at . Since the coefficient of the squared term is positive, the parabola opens upwards. This tells us that the function decreases to the left of the vertex and increases to the right.
Therefore, the function is decreasing for .
In the context of this multiple-choice question, the decreasing interval corresponds to the choice: .
Thus, the descending region for the function is .
x < -2