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

Draw the graph of the function: f(x)=|x^(2)-3|x|+2|

The range of the function f(x)=3x^(2)+7x+10 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:

The sum of all integral values of 'a' for which the equation 2x ^(2) -(1+2a) x+1 +a=0 has a integral root.

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 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)