Exam 10: Characteristics of Functions and Their Graphs

Determine the maximum and minimum number of x-intercepts for the graph of the polynomial function. Do not graph the function. - $f ( x ) = 5 x ^ { 3 } + x ^ { 2 } - 5 x - 2$

Describe the location, either above the x-axis or below the x-axis, of the graph of the function for large positive values of x and for large negative values of x. - $f ( x ) = - 9 x ^ { 5 } + x ^ { 4 } - 4 x + 6$