(Solved): Consider the equation below. (If an answer does not exist, enter DNE.) f(x)=x432x2+7 (a) Find th ...

Consider the equation below. (If an answer does not exist, enter DNE.) $f(x)=x^4-32x^2+7$ (a) Find the interval on which $f$ is increasing. (Enter your answer using interval notation.) Find the interval on which $f$ is decreasing. (Enter your answer using interval notation.) (b) Find the local maximum and minimum values of $f$. local minimum value local maximum value (c) Find the inflection points. (Order your answers from smallest to largest $x$, then from smallest to largest $y$.) $\begin{array}{l}(x,y)={\left(\frac{-4\sqrt{3}}{3},\frac{-1226}{9}\right)}^{\ast }\\ (x,y)=\left(\frac{4\sqrt{3}}{3},\frac{-1226}{9}\right)\end{array}$ Find the interval on which $f$ is concave up. (Enter your answer using interval notation.)