Section 2.9: Solving Inequalities in One Variable Have homework out to be checked! Do Now Find the x- and y-intercepts of f(x) = x2 – 4 2x2 – 2x – 4 Find the vertical and horizontal asymptotes of f(x) in problem 1. Sketch the graph. Solve the equation: x – 1 + 1 = 3 x2 - 1 x – 1 x + 1

Determining Where a Function is Zero, Negative, or Positive Sign Charts Graphing

Solving Polynomial Inequalities If written in factored form, use a sign chart to solve. If written in standard form, use a graph to solve. Use the other method to check.

Polynomial Inequalities w/ Quadratic Factors Where is this function equal to zero? Where is this function generating positive values? Where is this function generating negative values?

Inequalities w/ Radical Expressions

Absolute Value Inequalities

Rewriting Inequalities as a Single Rational Expression

Application of Inequalities