91Ó°ÊÓ

Find the \(x\) -intercepts and discuss the behavior of the graph of each polynomial function at its \(x\) -intercepts. $$f(x)=x^{4}-16$$

Find the range of each quadratic function and the maximum or minimum value of the function. Identify the intervals on which each function is increasing or decreasing. $$y=(x+3)^{2}+4$$

Find the range of each quadratic function and the maximum or minimum value of the function. Identify the intervals on which each function is increasing or decreasing. $$y=x^{2}+8 x-2$$

Find all real and imaginary solutions to each equation. Check your answers. $$x^{4}+6 x^{2}-7=0$$

Use Descartes's rule of signs to discuss the possibilities for the roots of each equation. Do not solve the equation. $$2 x^{3}-3 x^{2}+5 x-6=0$$

Identify the vertex, axis of symmetry, y-intercept, x-intercepts, and opening of each parabola, then sketch the graph. $$f(x)=(x-3)^{2}-4$$

Identify the vertex, axis of symmetry, y-intercept, x-intercepts, and opening of each parabola, then sketch the graph. $$f(x)=(x+1)^{2}-9$$

Identify the vertex, axis of symmetry, y-intercept, x-intercepts, and opening of each parabola, then sketch the graph. $$y=-2 x^{2}+4 x+1$$

For each given function make a rough sketch of the graph that shows the behavior at the \(x\) -intercepts and the behavior as \(x\) approaches \(\propto\) and \(-\infty\). $$f(x)=(x-1)^{2}(x+3)$$

Solve each absolute value equation. $$\left|w^{2}-4\right|=3$$