[填空题]
The function f is in the following form, +i0kt-avn 0p*buhkfvgirp a .:8 ,6h uy:*ofewhere p is a constant.gpr; +x p/;dyn f(x)=x$^3$+px$^2$-9x-2
A part of the graph of the function y=f(x) is shown in the diagram below.
1.Write down the y-intercept of the graph.
Thus the y-intercept is
(0,− ).
2.Find f′(x)=$ax^2+2px-9$, a= .
The tangent line L to the graph y=f(x) at x=1 is parallel to the x-axis.
3.1Find:the value of p= .;
3.2.the equation of line L.
y=- .
4.Determine the coordinates of another point on the graph y=f(x), where the tangent line to the graph is parallel to the x-axis.
5.Write down the interval where the gradient of the graph of y=f(x) is negative.
6.Determine all the possible values of m, for which the equation f(x)=m has three solutions. Write down your answer using interval notation.m is (- , )
