19A-19E Cubic, Quartic, and Rational Functions

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19A-19E Cubic, Quartic, and Rational Functions Unit 4: Mathematical Models 19A, 19B, 19C, 19D, 19E 5/8/2019 10:00 PM

Example classification: polynomial, cubic y-int: x-int(s): 19A, 19B, 19C, 19D, 19E 5/8/2019 10:00 PM

Cubic Functions can be used to model volume degree: 3 maximum number of turns: 3 – 1 = 2 opposite end behavior if a > 0 then left: falls right: rises a < 0 left: rises right: falls domain: range: 19A, 19B, 19C, 19D, 19E 5/8/2019 10:00 PM

Quartic Functions degree: 4 maximum number of turns: 4 – 1 = 3 same end behavior if a > 0 then left: rises right: rises a < 0 left: falls right: falls domain: range: depends on end behavior and minimums/maximums 19A, 19B, 19C, 19D, 19E 5/8/2019 10:00 PM

Rational Functions Copy comprised of polynomial functions g(x) and h(x) with a vertical shift k n: degree of numerator g(x) m: degree of denominator h(x) zeros of h(x) are: restrictions to the domain of f(x) vertical asymptotes (set equal to x) If n = m then horizontal asymptote of n < m horizontal asymptote of y = 0 + k n > m no horizontal asymptote n = m + 1 has a slant asymptote 19A, 19B, 19C, 19D, 19E 5/8/2019 10:00 PM

Guided Practice p. 545: 1-2 p. 549: 1, 2cd p. 552: 1c, 2 p. 554: 1, 4a, 5 p. 555: 2ag Read and follow all instructions. List the page and problem numbers alongside your work and answers in your notes. Use the back of the book to check your answers. Copy 19A, 19B, 19C, 19D, 19E 5/8/2019 10:00 PM