Question

Which graph is the function. f(x)=x^3-3x^2-4x

Answer 1

See below description.

Explanation:

The function
`f(x) = x^3-3x^2-4x` has the following characteristics:

• Factors:
  `x(x+1)(x-4)`
• Zeros/roots: x=0, x=-1, amd x=4
• Positive leading coefficient
• Graph starts down and curves up through -1 on the x-axis and back down to cross through 0. It curves back up again through 4 and finished off heading into positive infinity.
• Its graph is the shape of a sideways S.
• It has a relative maximum at 1.128 and relative minimum value of -13.128