In calculus, you will learn that certain functions can be approximated by polynomial functions. We will explore
Question:
In calculus, you will learn that certain functions can be approximated by polynomial functions. We will explore one such function now.
(a) Using a graphing utility, create a table of values with
Y1 = f(x) 1/1 – x and Y2 = g2(x) = 1 + x + x2 + x3 for -1 < x < 1 with ΔTb1 = 0.1.
(b) Using a graph, utility, create a table of values with
Y1 = f(x) = 1/1 – x and Y3 = g3(x) = 1 + x + x2 + x3 + x4 for -1 < x < 1 with ΔTb1 = 0.1.
(c) Using a graphing utility, create a table of values with
Y1 = f(x) = 1/1 - x and Y4 = g4(x) = 1 + x + x2 + x3 + x4 + x5 for -1 < x < 1 with ΔTb1 = 0.1.
(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?
Step by Step Answer:
a b c d The values of the polynomial funct...View the full answer
