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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
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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 →-∞
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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 →-∞
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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 →-∞
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Draw an approximate graph and describe the end behavior
y = x3 – 2x2 + 5x y = -x3 + 3x2 - 2x + 1
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Describe the end behavior
y = x4 – x3 + 2x2 – y = -x4 + 4x3 – x2 + x
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assignment Page 334 Problems all, 66 – 78 even
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