4. for the polynomial f(x)= x^3-x^2-4x+4 answer the following questions:

part l: how many zeros does the function have over the set of complex numbers?

part ll: what is the maximum number of local extrema (maxima or minima) the graph of the function can have?

part lll:

a) what value does the function (y) approach as x approaches infinity?

b) what value does the function (y) approach as x approaches negative infinity?

Part lV: list all the possible rational zeros of this function.

part V: Factor this polynomial completely over the set of complex numbers.

#6: Graph (y+3)^2/9 - (x-2)^2/16 =1

part l: identify the coordinates of the center of this hyperbola.

part ll: use the values of a or b to locate the coordinates of the vertices

part lll: what are the coordinates of the foci?

part lV: write the equations of the two asymptotes

part V: graph this hyperbola. Clearly label the locations of the foci and the vertices

#7 consider the function y= 2x-3/x+4

part l: what is the equation of this functions vertical asymptote?

part ll: what kind of additional asymptotes does this function have, horizontal or oblique?

part lll: what is the equation of this additional asymptote?

part lV: sketch the graph of this function.