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- #1

f(x)= x

^{7}-4x

^{5}-3x

^{4}+4x

^{3}+12x

^{2}-12/x

^{7}

a) Graph the function on [-6,6] by [-6,6]. From your graph, estimate how many x-intercepts the function has and what values they are.

b) Now graph the function on [-1.5, -1.4] by [-10

^{-4}, 10

^{-4}] and on [1.4, 1.5] by [-10

^{-5}, 10

^{-5}] From your graphs, estimate how many x-intercepts the function has and what their values are.

c)From your results in part a and b what advice would you give a friend using a graphing calculator to find x-intercepts?

I'm not even sure where to start with this problem. Just looking at part b gives me a headache and I have no idea what I'm doing. Any help would be greatly appreciated. Thanks.