3_8 - in Step 3. The second row is the SIGNS of the f...

Info iconThis preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon
Section 3.8: Polynomial and Rational Inequalities Instructor: Ms. Hoa Nguyen (nguyen@scs.fsu.edu) 1 Steps for Solving Polynomial and Rational Inequal- ities Step 1 : Write the inequality in either one of these forms: f ( x ) > 0, f ( x ) 0, f ( x ) < 0, f ( x ) 0. Step 2 : Find the zeros of f ( x ) if f is a polynomial. For a rational function f ( x ) = p ( x ) q ( x ) , find the zeros of p ( x ) and the zeros of q ( x ). The zeros of p ( x ) are the zeros of f ( x ) , but the zeros of q ( x ) are the values where f is UNDEFINED . Step 3 : Order the zeros found in Step 2 (from least to greatest). Step 4 : Set up the table where: The first row is the real number line separated into intervals by the ordered zeros
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Background image of page 2
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: in Step 3. The second row is the SIGNS of the f values at the test points. For each interval, the test number is selected as some point in the interval. If the value of f is positive, then f ( x ) > 0 for all numbers x in the interval. If the value of f is negative, then f ( x ) < 0 for all numbers x in the interval. If the inequality has the equal sign (i.e., or ), then include the zeros of f . Important notation : [ a, b ) means the point a is included in the interval, but the point b is not. 1 2 Examples Example 4 2...
View Full Document

This note was uploaded on 05/23/2011 for the course MAC 1147 taught by Professor Nuegyen during the Spring '11 term at FSU.

Page1 / 2

3_8 - in Step 3. The second row is the SIGNS of the f...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online