Chapter 3 Section 3

\[ \definecolor{ucrblue}{rgb}{0.0627,0.3843,0.6039} \definecolor{ucrgold}{rgb}{0.9686,0.6941,0.2824} \definecolor{ucrred}{rgb}{0.8941,0,0.1686} \definecolor{ucrgreen}{rgb}{0.4706,0.7451,0.1255} \definecolor{ucraccent}{rgb}{1.0000,0.9569,0.8392} \DeclareMathOperator*{\LO}{O} \DeclareMathOperator*{\Lo}{o} \DeclareMathOperator*{\Recip}{Recip} \DeclareMathOperator*{\abs}{abs} \DeclareMathOperator{\pow}{pow} \]

Notes

• Notes

Linguistic Mapping Exercises

• Linguistic Mapping Exercises PDF

Knowledge Checks

1. Sketch the rational function by graphing the horizontal asymptote, vertical asymptote, and zeros of \[f(x)=\frac{x-3}{x+5}.\]
2. Sketch the rational function by graphing the horizontal asymptote, vertical asymptote, and zeros of \[f(x)=\frac{x-1}{x^2-16}.\]
3. Solve the following inequality: \[\frac{x-1}{x^2-16}\geq 0.\]
4. Solve the following inequality: \[20(x+11)^5(x+6)^3(x-1)^2(x-3)^4(2x-7)^5<0.\]

• Knowledge Checks PDF
• Knowledge Checks Solutions

Remember, do the knowledge checks before checking the solutions.

Practice Problems

• Practice Problems

Return

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