Sketch the Graph Of $f ( x ) = 2 x ^ { 3 } + x ^ { 2 } + x - 1$

question 158

Essay

Sketch the graph of $f ( x ) = 2 x ^ { 3 } + x ^ { 2 } + x - 1$ on $[ - 3,3 ]$ . For each initial approximation given below, determine graphically what happens if Newton's Method is used to approximate the roots of $f ( x ) = 0$ .(a) $x _ { 1 } = - 2$ (b) $x _ { 1 } = - 1$ (c) $x _ { 1 } = 0$ (d) $x _ { 1 } = 1$ (e) $x _ { 1 } = - 1.56$

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