The sum of all the integral values of a {where `a in (-10, 10)}` such that the graph of the function `f(x)=||x-2|-a|-3` has exastly three x-intercepts is

The sum of all positive integral values of a , where a in[1,500] for which the equation [x]^(3)+x-a=0 has a solution is:

Find the asymptotes, intercepts and sketch the graph of the function f(x)=(x^2-4)/(x^3-4x^2)

Find the sum of all possible integral values of in [1,100] for which the function f(x)=2x^(3)-3(2+alpha)x^(2) has exactly one local maximum and one local minimum.

Find the sum of all possible integral values of in [1,100] for which the function f(x)=2x^(3)-3(2+alpha)x^(2) has exactly one local maximum and one local minimum.

Find the asymptotes, intercepts and sketch the graph of the function f(x)=(2x+16)/(x^2-2x-15) .

Find the asymptotes, intercepts and sketch the graph of the function f(x)=(x^2+9)/(x^2-6x+9)

Find the asymptotes, intercepts and sketch the graph of the function f(x)=(x^3-4x)/(x^2-4x+4

Find the asymptotes, intercepts and sketch the graph of the function f(x)=(x^3)/(x^2-9)

Find the asymptotes, intercepts and sketch the graph the function f(x)=(x^2-x-6)/(x-3)

The smallest positive integral value of a, such that the function f(x)=x^(4)-4ax^(2)+10 has more two local extrema, is