Perform the following for the function defined by $f(x)=4 x^{4}+7 x^{2}-36$.
(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)

Question

Perform the following for the function defined by $f(x)=4 x^{4}+7 x^{2}-36$.
(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) $f(x)<0$

Quizplus · Accepted Answer

The Answer of Perform the following for the function defined by $f(x)=4 x^{4}+7 x^{2}-36$.
(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) $f(x)<0$

Perform the Following for the Function Defined By f(x)=4x4+7x2−36f(x)=4 x^{4}+7 x^{2}-36f(x)=4x4+7x2−36

Perform the Following for the Function Defined By $f(x)=4 x^{4}+7 x^{2}-36$