MHB Using a graphing calculator to solve functions

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The discussion focuses on using a graphing calculator to analyze the function f(x) = x^7 - 4x^5 - 3x^4 + 4x^3 + 12x^2 - 12/x^7. Participants are tasked with graphing the function over specified intervals to estimate the number of x-intercepts and their values. There is a request for assistance due to confusion about the problem, particularly regarding part b, which involves narrow viewing windows. The conversation highlights the importance of knowing how to adjust viewing windows on different calculator models for accurate graphing. Overall, understanding the graphing process and adjusting settings is crucial for effectively finding x-intercepts.
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Consider the function:

f(x)= x7-4x5-3x4+4x3+12x2-12/x7

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.
 
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What model calculator do you have? Do you know how to adjust viewing windows on your model?
 

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