#2

  1. degree: odd
    coefficient: negative

  2. 3 x intercepts

  3. 2 direction changes
    + 1= 3

  4. The minimum degree is 3

  5. x-intercepts are: -2, 0, 2
    **The root 0 has a multiplicity of 3
    Written as factors: x^3(x+2)(x-2)

  6. f(x)=a(x)^3(x+2)(x-2)

  7. Plug in the point (1,9) and solve for a9=a(1)^3(1+2)(1-2)
    9=a(1)(3)(-1)
    9=-3a
    a=-3

  8. The function of this graph is
    f(x)=-3x^3(x+2)(x-2)
    or
    f(x)=-3x^5+12x