7. a) Sketch an example of a cubic function with the given zeros. Then write the equation of the function. i) -3,0,2 iii) 1,4 (order 2) 1 ii) -2 (order 3) iv) 3, (order 2) 2 b) Are all the characteristics of the graphs unique? Explain. 8. Sketch an example of a quartic function with the given zeros, and write the equation of the function. Then write the equations of two other functions that belong to the same family. a) -5,-3, 2, 4 c) b) - 2 (order 2), 3 (order 2) d) 6 (order 4) 9. Sketch the graph of each function. a) y = 3x - 48x b) y = x + 4x+4x 3 -2, 5 (order 2) c) y = x - 9x + 27x - 27 d) y=-x15x - 75x - 125x 10.) Sketch the graph of a polynomial function that satisfies each set of conditions. a) degree 4, positive leading coefficient, 3 zeros, 3 turning points b) degree 4, negative leading coefficient, 2 zeros, 1 turning point c) degree 4, positive leading coefficient, 2 zeros, 3 turning points d) degree 3, negative leading coefficient, 1 zero, no turning points