Use a graphing calculator to graph the following functions

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Presentation transcript:

Algebra 2 cc Section 2.11 Create an approximate graph of polynomial functions Use a graphing calculator to graph the following functions. Complete the worksheet. y = 2 y = ½ x + 3 y = ½ x +3 y = x2 – 2x – 8 y = -x2 + 2x + 8 y = x3 + 2x2 – 5x – 6 y = -x3 - 2x2 + 5x + 6 y = x4 - x3 - 7x2 + x + 6 y = -x4 + x3 + 7x2 - x - 6

Graphs of polynomial functions Graphs of polynomial functions. State their end behavior in terms of: f(x) → _____ as x →∞ and f(x) → _____ as x →-∞ Constant y = c Linear y = mx + b f(x) → _____ as x →∞ and f(x) → _____ as x →-∞ f(x) → _____ as x →∞ and f(x) → _____ as x →-∞

Quadratic y = ax2 + bx + c Cubic y = ax3 + bx2 + cx+ d f(x) → _____ as x →∞ and f(x) → _____ as x →-∞ f(x) → _____ as x →∞ and f(x) → _____ as x →-∞ f(x) → _____ as x →∞ and f(x) → _____ as x →-∞ f(x) → _____ as x →∞ and f(x) → _____ as x →-∞

Quartic y = ax4 + bx3 + cx2+ dx + e f(x) → _____ as x →∞ and f(x) → _____ as x →-∞ f(x) → _____ as x →∞ and f(x) → _____ as x →-∞

Draw an approximate graph and describe the end behavior y = x3 – 2x2 + 5x -3 y = -x3 + 3x2 - 2x + 1

Describe the end behavior y = x4 – x3 + 2x2 – 5 y = -x4 + 4x3 – x2 + x

assignment Page 334 Problems 53-59 all, 66 – 78 even