Math III, Unit 5, Lesson 2 - Ciclt.net

5 35. Graph f ( x) 21 . x 4x26. Graph3f ( x) 2x 5x7.5Is the leading coefficient + or - ? ________What is the degree? _________Is the leading coefficient + or - ? ________What is the degree? _________7.7f ( x) x 2x 8.3f ( x) 4x1Is the leading coefficient + or - ? ________What is the degree? _________Is the leading coefficient + or - ? ________What is the degree? _________Now, analyze your graphs. Look for relationships between the degree and the leading coefficient of the functionand the behavior of the ends of the graph.1. What can you conclude if the degree is odd and the leading coefficient is positive? …to the left it is_________________ to the right it is ___________________2. What can you conclude if the degree is odd and the leading coefficient is negative? …to the left it is_________________ to the right it is ___________________Word Bank: degree, positive, negative, , and .3. If the ______________ is odd and the leading coefficient is _____________ as x thenf ( x) _________and as x then f ( x) _______________.4. If the ______________ is odd and the leading coefficient is _____________ as x thenf ( x) _________and as x then f ( x) _______________.

5. A. P.5 4 3 2f ( x) 4x 8x -15x - 23x 11x15This polynomial has 5 real roots.According to Descartes’ rule, itcould have 2 or zero positive realroots.6. E. T.4 3f ( x) x - 4x 16x-16This is a polynomial of degree 4and y-intercept of -16.7. G. W.2f ( x) 4x 24x- 41This polynomial has a vertex at3, 77 .8. B. R.4 2f ( x) 4x -17x 3This polynomial has 4 real zeros.

Names: _________________________________________________________________________________Polynomial1.2f ( x) x -12x26GraphMatchDescriptionMatchList All Zeros2.4f ( x) 16x- 813.3 2f ( x) 5x - 9x 28x64.4 3 2f ( x) x - 8x 17x - 8x165.5 4 3 2f ( x) 4x 8x -15x - 23x 11x156.4 3f ( x) x - 4x 16x-167.2f ( x) 4x 24x- 418.4 2f ( x) 4x -17x39.2f ( x) -x 8x- 2110.5 3f ( x) x - 5x 4x