In calculus, certain functions can be approximated by polynomial functions. Explore one such function now. Ans parts (a) through (d). 1 (a) Using a graphing utility, create a table of values with Y₁ = f(x) = and Y₂ = 9₂(x) = 1 + x + x² + x³ for 1-x - 1

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In calculus, certain functions can be approximated by polynomial functions. Explore one such function now. Answer
parts (a) through (d).
(a) Using a graphing utility, create a table of values with Y₁ = f(x) =
1
1-x
- 1<x<1 with ATbl = 0.1.
-.9
(Type an integer or decimal rounded to five decimal places as needed. Type N if the function is undefined.)
Y₂
X
Y₁
-1
-.8
-.7
-.6
-.5
...
4
OL
and Y₂ = 92(x) = 1 +x+x²+x³ for
M
Transcribed Image Text:In calculus, certain functions can be approximated by polynomial functions. Explore one such function now. Answer parts (a) through (d). (a) Using a graphing utility, create a table of values with Y₁ = f(x) = 1 1-x - 1<x<1 with ATbl = 0.1. -.9 (Type an integer or decimal rounded to five decimal places as needed. Type N if the function is undefined.) Y₂ X Y₁ -1 -.8 -.7 -.6 -.5 ... 4 OL and Y₂ = 92(x) = 1 +x+x²+x³ for M
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