2. A fifth degree function, g(x), has zeros at -4,-1,5/2, and 5. a) Write an equation that could represent g(x).

b) Identify the vertical intercept.

c) Sketch a graph of the function.

d) Identify the end behavior of g(x).

i) As x increases in the positive or negative
direction, y increases in the positive direction.

ii) As x increases in the positive or negative
direction, y increases in the negative direction.

iii) As x increases in the positive direction, y
increases in the positive direction. As x
increases in the negative direction, y increases
in the negative direction.

iv) As x increases in the positive direction, y
increases in the negative direction. As x
indcases in the negative direction, y increases
in the positive direction