(a) at , tangent slope isLet C be the graph of y = x^3

a) show that if a /=0 then the tangent to C at x=a also intersects C at a second point x=b

b) show that the slope of C at x=b is four times its slope at x=a

c) Can any line be tangent to C at more than one point

d) Can any line be tangent to te graph of y = Ax^3 + Bx^2 + Cx + D

if this tangent line intersects the curve again at , , then

since ...

(b)

(c) the answer to (b) answers this part.

(d) "any line" ??? I would say no ... how about the vertical line ? or any horizontal line where