(a)

The functions are and .

Draw a coordinate plane.

Graph the functions and for in the same window.

Graph :

From the above graph create a table of values for and in with .

Table :

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(b)

The functions are and .

Draw a coordinate plane.

Graph the functions and for in the same window.

Graph :

From the above graph create a table of values for and in with .

Table :

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(c)

The functions are and .

Draw a coordinate plane.

Graph the functions and for in the same window.

Graph :

From the above graph create a table of values for and in with .

Table :

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(d)

As more terms are added to the polynomial, the values of the polynomial function get closer to the values of .

The approximations near are better than those near or .

(a)

Table :

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(b)

Table :

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(c)

Table :

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(d)

As more terms are added to the polynomial, the values of the polynomial function get closer to the values of .

The approximations near are better than those near or .