Consider the third-degree polynomial f(x) = ax3 + bx2 + cx + d, a 0. Determine conditions far a, b, c, and d if lie graph of f has (a) no horizontal tangents, (b) exactly one horizontal tangents and (c) exactly two horizontal tangents. Give an example for each case.
Show transcribed image textConsider the third-degree polynomial f(x) = ax3 + bx2 + cx + d, a 0. Determine conditions far a, b, c, and d if lie graph of f has (a) no horizontal tangents, (b) exactly one horizontal tangents and (c) exactly two horizontal tangents. Give an example for each case.