Solve the polynomial inequality graphically. \(\displaystyle−{x}^{{3}}−{3}{x}^{{2}}−{9}{x}+{4}{<}{0}\)

Do you agree with the contention that the functions \(f(x) = x + 2\) and \(g(x)=\displaystyle{\frac{{{x}^{{{2}}}-{4}}}{{{x}-{2}}}}\) are the same in every respect. Provide evidence to support your position.

Copy and complete the anticipation guide in your notes. StatementThe quadratic formula can only be used when solving a quadratic equation.Cubic equations always have three real roots.The graph of a cubic function always passes through all four quadrants.The graphs of all polynomial functions must pass through at least two quadrants.The expression \(x^2>4\) is only true if x>2.If you know the instantaneous rates of change for a function at x = 2 and x = 3, you can predict fairly well what the function looks like in between. Agree Disagree Justification Statement The quadratic formula can only be used when solving a quadratic equation. Cubic equations always have three real roots. The graph of a cubic function always passes through all four quadrants. The graphs of all polynomial functions must pass through at least two quadrants. The expression \(x^2>4\) is only true if x>2. If you know the instantaneous rates of change for a function at x = 2 and x = 3, you can predict fairly well what the function looks like in between.

Graph each polynomial function. \(f(x)=2x^{3}\ -\ x^{2}\ +\ 2x\ -\ 1\)