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

Essay

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