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Section 2.9: Solving Inequalities in One Variable

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1 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 – = 3 x2 - 1 x – x + 1

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

3 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.

4 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?

5 Inequalities w/ Radical Expressions

6 Absolute Value Inequalities

7 Rewriting Inequalities as a Single Rational Expression

8 Application of Inequalities


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