Given the function the function f of x equals x to the power of four plus three times x cubed minus fifteen times x squared minus nineteen plus thirty complete each part below using complete sentences.
Part A: Give the x - intercepts and the y - intercept of the graph of the function f(x). Explain how these were found.
Part B: Give the local maximums and local minimums and general intervals of where the function increases and decreases.
Part C: State the general shape of the graph, the end behavior, and if the function is even or odd.