(A) Sketch a graph of g(x) = 2x² – 5x – 5 in a rectangular coordinate system.

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

(C) Graph g(x) = 2x² – 5x – 5 in a standard viewing window.

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

(E) Solve 2x² – 5x – 5 ≥ 0 graphically to four decimal places using the results of parts (A) and (B) or (C) and (D).

(F) Solve the equation 2x² – 5x – 5 = –3 graphically to four decimal places using intersect on your graphing calculator.