Given the function f(x)=2x^2 - 6x + 7 a. Determine the exact value of the function at x = 1 i.e., f(1). b. Using differentials, approximate the change in the value of the function f(x) if x is to be changed from I to 0.9. c. Using differentials, approximate the new value of the function f(x) if × is to be changed from 1 to 0.9. d. Determine the exact value of the function at × = 0.9 i.e., f0.9). Did the answer in part a nicely approximated f(0.9)?
Given the function f(x)=2x^2 - 6x + 7 a. Determine the exact value of the function at x = 1 i.e., f(1). b. Using differentials, approximate the change in the value of the function f(x) if x is to be changed from I to 0.9. c. Using differentials, approximate the new value of the function f(x) if × is to be changed from 1 to 0.9. d. Determine the exact value of the function at × = 0.9 i.e., f0.9). Did the answer in part a nicely approximated f(0.9)?
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter2: Graphical And Tabular Analysis
Section2.1: Tables And Trends
Problem 1TU: If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per...
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Given the function f(x)=2x^2 - 6x + 7
a. Determine the exact value of the function at x = 1 i.e., f(1).
b. Using differentials, approximate the change in the value of
the function f(x) if x is to be changed from I to 0.9.
c. Using differentials, approximate the new value of the
function f(x) if × is to be changed from 1 to 0.9.
d. Determine the exact value of the function at × = 0.9 i.e.,
f0.9). Did the answer in part a nicely approximated f(0.9)?
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