(A) Sketch a graph of f(x) = –x² + 5x + 3 in a rectangular coordinate system.

(B) Find x and y intercepts algebraically to four decimal places.

(C) Graph f(x) = –x² + 5x + 3 in a standard viewing window.

(D) Find the x and y intercepts to four decimal places using trace and zero on your graphing calculator.

(E) Solve the quadratic inequality –x² + 5x + 3 Ú 0 graphically to four decimal places using the results of parts (A) and (B) or (C) and (D).

(F) Solve the equation –x² + 5x + 3 = 4 graphically to four decimal places using intersect on your graphing calculator.