- In Calculus Certain Functions Can Be Approximated By Polynomial Functions Explore One Such Function Now Answer Parts J 1 (33.42 KiB) Viewed 37 times
- In Calculus Certain Functions Can Be Approximated By Polynomial Functions Explore One Such Function Now Answer Parts J 2 (33.19 KiB) Viewed 37 times
- In Calculus Certain Functions Can Be Approximated By Polynomial Functions Explore One Such Function Now Answer Parts J 3 (27.98 KiB) Viewed 37 times
- In Calculus Certain Functions Can Be Approximated By Polynomial Functions Explore One Such Function Now Answer Parts J 4 (29.67 KiB) Viewed 37 times
- In Calculus Certain Functions Can Be Approximated By Polynomial Functions Explore One Such Function Now Answer Parts J 5 (29.67 KiB) Viewed 37 times
- In Calculus Certain Functions Can Be Approximated By Polynomial Functions Explore One Such Function Now Answer Parts J 6 (33.68 KiB) Viewed 37 times
- In Calculus Certain Functions Can Be Approximated By Polynomial Functions Explore One Such Function Now Answer Parts J 7 (32.39 KiB) Viewed 37 times
- In Calculus Certain Functions Can Be Approximated By Polynomial Functions Explore One Such Function Now Answer Parts J 8 (32.39 KiB) Viewed 37 times
- In Calculus Certain Functions Can Be Approximated By Polynomial Functions Explore One Such Function Now Answer Parts J 9 (34.82 KiB) Viewed 37 times
In calculus, certain functions can be approximated by polynomial functions. Explore one such function now Answer parts through i (b) Using a graphing utility, create a table of values with Y, (Type an integer or decimal rounded to five decimal places as needed. Type Nf the function is undefined) Y₂ Y₂ -1 -3 <-3 -6 <-5 A -3 -2 -1 0 A 2 3 A 5 6 7 A 9 1 Using a graphing uity, create a table of values with Y, 100 and Y2₂00+1+²+²+²+²-1<x<1wth TM-1 Type an integer or decimal rounded to five decimal places as needed. Type Ni the function is undefined) Y₂ Y₂ X -1 -9 -8 -7 -A -5 4 -3 -2 Y₂₂001+x+²²²-1<x<1 with T-01 -1 0 t 2 3 A 5 8 7 8 3 1 (d) What do you notice about the values of the function as more terms are added to the polynomial? Are there some values of x for which the approximations are better? OA. As more terms are added the values of the polynomial function get further and further away from the values oft. The approximations near a bathan those near-1 or OB. As more terms are added the values of the polynomial function get closer to the values off. The approximations near Dare better than those near-1 or 1. OC. As more terms are added, the values of the polynomial function get further and further away from the values of t The approximations near-1 or 1 are better than those near 0. OD. As more terms are added, the values of the polynomial function get closer to the values of The approximations near-1 or 1 are better than those near C
In calculus certain functions can be approximated by polynomial functions. Explore one such function now. Answer parts (a) through (a) Using a graphing utility, create a table of values with Y₁-10x) and Y₂₂(x)=1+x+x²+x² for-1<x<1 with ATB-01 (Type an integer or decimal rounded to five decimal places as needed. Type N it the function is undefined) Y₂ x Y₁ -9 -8 -7 -6 -5 -A -2 -1 0 A 2 A 3 4 5 9 7 V 9 1 x (b) Using a graphing utility, create a table of values with Y, (Type an integer or decimal rounded to five decimal places as needed. Type N if the function is undefined.) Y₁ Y₂ -1 -9 -8 -7 -6 -5 -4 -2 -1 0 1 2 3 4 5 6 7 U 8 and Y₂x)=1+x+x²+x²+x² for 1<x<1 with ATB: 11
In calculus certain functions can be approximated by polynomial functions. Explore one such function now Answer parts (a) through (4) (a) Using a graphing utility, create a table of values with Y (Type an integer or decimal rounded to five decimal places as needed. Type N if the function is undefined) x Y₂ Y₂ -1 -9 -7 -6 -5 <-4 -3 -2 -1 0 1 2 3 Y 5 7 8 9 1 -9 -8 -7 -5 -4 (b) Using a graphing utility, create a table of values with Y, fox and Y₂₂0-1²²-1<x<1 with T-21 (Type an integer or decimal rounded to five decimal places as needed. Type N if the function is undefined) x Y, -2 -1 0 1 2 3 4 5 9 7 11 8 9 B and Y₂₂x1+x+²+² for-1-with-0.1 E (c) Using a graphing utility, create a table of values with Yand Y29₂00-1²²²²-11-01 (Type an integer or decimal rounded to five decimal places as needed. Type N if the function is undefines) Y₂ x Y₂ -1 -9 -8
in calculus, certain functions can be approximated by polynomial functions. Explore one such function now Answer parts () through (d). (b) Using a graphing utility, create a table of values with Y₁x) and Y₂1²²²for-1<x<1 with ATB-01 (Type an integer or decimal rounded to five decimal places as needed. Type Nf the function is undefined) Y₂ Y₂ X -1 -3 -7 -6 -5 <-4 -3 -2 -1 0 1 2 3 4 5 A 7 A 9 1 (c) Using a graphing utility, create a table of values with Y, 100 and ₂0+x+x²+²+²+² for-textin&T=1 (Type an integer or decimal rounded to five decinal places as needed. Type N if the function is undefined) X Y₁ Y₂ -1 -9 -8 -7 -4 -5 A -3 -2 -1 1 2 3 A 5 4 2 8 3 1 H (d) What do you notice about the values of the function as more terms are added to the polynomial? Are there some values of x for which the approamatione are better? A As more terms are added, the values of the polynomial function get further and further away from the values off. The approximations near are better than those near-1 or 1 OB. As more terms are added, the values of the polynomial function get closer to the values off. The approximations near are better than these near-1 or 1 OC. As more les are added, the values of the polynomial function get further and further away from the values off. The approximations near-1 or 1 are better than those near 0. OD. As more terms are added, the values of the polynomial function get closer to the values of t. The approximations near-1 or 1 are better than those near D
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 Y, (Type an integer or decimal rounded to five decimal places as needed. Type N if the function is undefined) Y₂ Y₁ x -9 -7 -6 -5 -4 -3 -2 <-.1 0 1 2 3 4 5 .6 7 8 6 1 (b) Using a graphing utility, create a table of values with Y,-) and Y₂9₂x)=1+x+x²+x²+x² for 1<x<1 with ATbl=0.1. (Type an integer or decimal rounded to five decimal places as needed. Type Nr the function is undefined) Y₂ x Y₁ -1 -9 -7 -6 -5 -4 -3 -2 0 1 2 3 4 5 and Y₂9₂0x1+x+x²x²for-1<x<1 with ATBl=0.1. 6 7 8 9 1
In calculus, certain functions can be approximated by polynomial functions. Explore one such function now. Answer parts () through (d). (b) Using a graphing treate a table of values with Y, Type an integer or decimal rounded to five decimal places as needed. Type Nf the function is undefined) x Y₂ -1 -9 -8 -7 -5 -A -3 -2 -1 0 1 2 3 4 5 6 7 J 9 -1 (c) Using a graphing uity, create a table of values with Y₁-00-and Y₂₂00-1²²²²-11T0.1. (Type an integer or decimal rounded to five decimal places as needed. Type Nf the function is undefined) Y₁ -8 -7 -6 -5 -A -3 -2 -1 0 1 2 3 U 11 A 5 6 7 8 9 11 and Y₂₂001+x+x²+x²+x²for-1<x<1 with ATD=0.1 U U (d) What do you notice about the values of the function as more terms are added to the polynomial? Are there some values of x for which the approximations A As more terms are added the values of the polynomial function get further and further away from the values off. The approximations near 0 are better than those near-1 or 1 B. As more terms are added the values of the polynomial function get closer to the values of t. The approximations near 0 are better than those near-1 or 1, OC. As more terms are added the values of the polynomial function get further and further away from the values off. The approximations near-1 or 1 are better than those near OD. As more terms are added. the values of the polynomial function get closer to the values off. The approximations near-1 or 1 are better than those near O