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Perform the Following for the Function Defined By f(x)=4x445x249f(x)=4 x^{4}-45 x^{2}-49

Question 7

Essay

Perform the following for the function defined by f(x)=4x445x249f(x)=4 x^{4}-45 x^{2}-49 .
(a) Find all zeros analytically.
(b) Find a comprehensive graph of ff , and support the real zeros found in part (a).
(c) Discuss the symmetry of the graph of ff .
(d) Use the graph and the results from part (a) to find the solution set of each of the following inequalities.
(i) f(x)0f(x) \geq 0
(ii) f(x)<0f(x)<0

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