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Understanding Parent Functions: Domain, Range, Intercepts, and Asymptotes

This lesson covers the essential concepts of parent functions, including how to find their domain, range, intercepts, and asymptotes. Students will learn to graph parent functions and their shifts effectively. Key topics include identifying horizontal and vertical asymptotes in reciprocal functions, utilizing synthetic division, and solving quadratic equations. The session will also involve practice with homework problems and preparation for an upcoming quiz. Mastery of these concepts is crucial for success in advanced mathematics.

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Understanding Parent Functions: Domain, Range, Intercepts, and Asymptotes

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  1. Ch. 9 Day 1 TLW: 2A.4A Graph Parent Functions 2A.9C, 2A.10C Find domain, range, intercepts, and asymptotes

  2. Go over HW 9.0 … you MUST be able to graph these parents and their shifts!!!

  3. Notes 9.1 How to Find Asymptotesin reciprocal functions Horizontal Asymptote: If Exponent is: Asymptote is: Y=0 BOB0 Y=___ BOTN DNE Divide Coefficients EATS DC Vertical Asymptote: Simplify Function and set denominator equal to zero and solve for x

  4. -.5 -1 H. Asymptote: V. Asymptote: und BOBO 1 Y=0 .5 Set denominator equal to 0 X=0

  5. Find asymptotes and equations H. Asymptote: V. Asymptote: EATS DC y = 3 Set denominator equal to 0 4.5 X = -4 6 und 0 1.5

  6. with asymptotes: and Write and graph a translation of What is the new equation? -1 0 und -4 -3

  7. Use synthetic Division 1 2 -3 -5 6 Check max/min on calc One root is 1. Find 2 others. 2 -1 -6 0 -6 -1 2 Solve the quadratic equation: -1.5 1 2 Degree 3 so opposite end behavior Positive 2 so end behavior up

  8. Find the intercepts and graph Positive 5 so end behavior up -b/2a finds x-coord of vertex Solve the quadratic equation: Degree 2 so same end behavior -1 1 -2 -3 Check min on calc min (-1.4,-12.8)

  9. HW: WS 9.1 Due next class! Quiz #1 next class

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