Consider the function f : [–1,2] → R defined by f(æ) = x² – 1. On the interval [-1,0] the maximum value of f is Number and the minimum value is Number Similarly, on the interval [1, 2] the maximum value of f is Number and the minimum value is Number Hence the values of upper and lower Riemann sum, Sp and Sp respectively, for function f with respect to the partition P = {-1,0,1, 2} are Sp and Sp Number Number

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter3: Functions
Section3.3: More On Functions; Piecewise-defined Functions
Problem 99E: Determine if the statemment is true or false. If the statement is false, then correct it and make it...
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Consider the function f :-1, 2 → R defined by
f(x) = x² – 1.
On the interval -1,0 the maximum value of f is
Number
and the minimum value is Number
Similarly, on the interval [1, 2] the maximum value of f is
Number
and the minimum value is
Number
and Sp respectively, for function f with respect to the partition
Sp
Hence the values of upper and lower Riemann sum,
P = {-1,0, 1, 2} are
Sp =
and Sp = Number
Number
Transcribed Image Text:Consider the function f :-1, 2 → R defined by f(x) = x² – 1. On the interval -1,0 the maximum value of f is Number and the minimum value is Number Similarly, on the interval [1, 2] the maximum value of f is Number and the minimum value is Number and Sp respectively, for function f with respect to the partition Sp Hence the values of upper and lower Riemann sum, P = {-1,0, 1, 2} are Sp = and Sp = Number Number
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