Sketch the graph f(x)=-2x^2(x-5)^3(x+2)^4.
What would be my coordinates. I solved it and my graph looks nothing like the one on wolframalpha. Can someone show me how you would solve this?
Not sure what the problem is. You know the graph is tangent to the x-axis at x=-2 and x=0, because the roots are of even order. Similarly, there is a little jog as the graph crosses the x-axis at x=5, since the root is of odd order greater than 1.
The function is of odd order, with negative coefficient of the highest power, so it swoops down from the left, and again down to the right from x=5.