Taylor Polynomials

Fill in the General Form of a Taylor Polynomial with the correct pieces:

Given f(1)=3; f'(1)=-2; f''(1)=4; f'''(1)=-12, the first four terms of the Taylor Polynomial for f(x) are

• 80

• 240

• 480

• 2.667

• 0.266

• 0.026

• 0.002

The graph of the function f(x) is shown. Which of the following could be a portion of the graph of the Maclaurin polynomial of degree 13 for f(x)?

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