What is the range of all possible values such that is an everywhere increasing function?
What is the range of possible values such that the function is an always decreasing function?
The above diagram shows the curve Let be the -coordinate of the intersection point between the curve and negative part of the -axis, and let and be the -coordinates of the local maximum and minimum of the curve, respectively, as shown in the diagram. If and for the portions of the curve that are not displayed in the diagram, what is the range of that satisfies
What is the range of possible values of such that the function increases in the interval
What is the sum of the minimum and maximum values of the constant such that is an increasing function in the interval