91Ó°ÊÓ

Solve polynomial inequality and graph the solution set on a real number line. \(-x^{2}+2 x \geq 0\)

Solve each equation by making an appropriate substitution. If at any point in the solution process both sides of an equation are raised to an even power, a check is required. $$x^{-2}-4 x^{-1}=3$$

Compute the discriminant. Then determine the number and type of solutions for the given equation. $$2 x^{2}+x+3=0$$

Solve polynomial inequality and graph the solution set on a real number line. \(x^{2} \leq 4 x-2\)

Use the vertex and intercepts to sketch the graph of each quadratic function. Use the graph to identify the function's range. $$f(x)=2(x+2)^{2}-1$$

Compute the discriminant. Then determine the number and type of solutions for the given equation. $$2 x^{2}-4 x+3=0$$

Use the vertex and intercepts to sketch the graph of each quadratic function. Use the graph to identify the function's range. $$f(x)=\frac{5}{4}-\left(x-\frac{1}{2}\right)^{2}$$

Solve polynomial inequality and graph the solution set on a real number line. \(x^{2} \leq 2 x+2\)

Solve each equation by making an appropriate substitution. If at any point in the solution process both sides of an equation are raised to an even power, a check is required. \(x^{-2}-6 x^{-1}=-4\)

Use the vertex and intercepts to sketch the graph of each quadratic function. Use the graph to identify the function's range. $$f(x)=4-(x-1)^{2}$$