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Homework Review

Homework Review. P. 251-256 12-16, 40-44. 12) in (-∞, -1], de [-1, ∞) 13) in (- ∞, 2], [1, ∞), de [-2, 1] 14) in (- ∞, -2] , [0, 1], de [-2, 0], [1, ∞] 15) in [-8, 0], [8, ∞), de (- ∞, 8], [0, 8] 16) in (- ∞, 0], de [0, ∞). 40) lmx : 0, lmn : -5, no amx , amn : 5

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Homework Review

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  1. Homework Review

  2. P. 251-25612-16, 40-44 12) in (-∞, -1], de [-1, ∞) 13) in (- ∞, 2], [1, ∞), de [-2, 1] 14) in (- ∞, -2] , [0, 1], de [-2, 0], [1, ∞] 15) in [-8, 0], [8, ∞), de (- ∞, 8], [0, 8] 16) in (- ∞, 0], de [0, ∞) 40) lmx: 0, lmn: -5, no amx, amn: 5 • lmx: 17, 27,lmn: -10, 24 • lmx: 2, amx: 2 • lmn: -3.2, amn:-3.2, amx: 3 • lmx: 3.1, lmn: -3.1, amx: 3.1, amn: -3.1

  3. P. 251-25645-48, 70-90 even 45) lmx: 1, lmn: -1, amx: 1, amn: -1 46) lmx: 0.5, 2, lmn:-0.5, -2, amx: 0.5, 2, amn: -0.5, -2 47) lmn: -2, lmx: 1, 2, amn: -2, amx: 2 48) lmx: 2.5, lmn: 2, -12 Amn: -12 70)even 72) odd 74) Neither 76) Even 78) even 80) Odd 82) neither 84) Neither 86) Even 88) Odd 90) neither

  4. 4.2: polynomial functions and models November 6, 2009

  5. Objectives • Understand the graphs of polynomial functions. • Evaluate and graph piecewise defined functions.

  6. Understand the graphs of polynomial functions. • If a polynomial has a degree n, where n≥1, then it has… • at most, n x-intercepts • at most, n-1 turning points

  7. n is even, n ≥ 2 • a>0: The graph rises both to the left and the right • a<0: the graph falls both to the left and right

  8. n is odd and n ≥1 • a>0.. The graph falls to the left and rises to the right • a<0… the graph rises to the left and falls to the right

  9. What is the degree and what is the sign of a? • Try these…

  10. Evaluate and graph piecewise defined functions. • Remember piecewise linear functions? • These are very similar. • Key ideas: • Continuous: no breaks in the graph • Evaluate: find the solution at the given value of x • Solve f(x) = ?: solve for y at this value

  11. Evaluate and graph piecewise defined functions. f(x)={ x2-15 if -5≤x<0 {2x-1 if 0≤x<2 {-(x2+1) if 2≤x<5 • Evaluate at x= -1, 0, 1, 2 • Is it continuous? • Solve for f(x) = 0

  12. Your assignment • P. 268- 273 • 9-18 • 36-38 • 67-73

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