Consider the function f given by f(x) = 12 -5 2² 9 if I <-2 if x=-2 if V 2 4.1 Give an E-5 proof of the fact that fis continuous in the point = = -2. 42 By examining the left-hand derivative and the right-hand derivative of f at the point r determine if f is differentiable at r= -2. 4.3 Is / Riemann integrable on the interval [-3, 1]? Justify your answer.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter4: Calculating The Derivative
Section4.2: Derivatives Of Products And Quotients
Problem 35E
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Consider the function f given by
QUESTION 4
12-1-6
F2
f(x) = -5
9
if I <-2
if x=-2
if r>-2
4.1. Give an E-5 proof of the fact that fis continuous in the point = -2.
4.2 By examining the left-hand derivative and the right-hand derivative of f at the point r
determine if f is differentiable at r= -2.
4.3 Is fRiemann integrable on the interval [-3, 1])? Justify your answer.
Transcribed Image Text:Consider the function f given by QUESTION 4 12-1-6 F2 f(x) = -5 9 if I <-2 if x=-2 if r>-2 4.1. Give an E-5 proof of the fact that fis continuous in the point = -2. 4.2 By examining the left-hand derivative and the right-hand derivative of f at the point r determine if f is differentiable at r= -2. 4.3 Is fRiemann integrable on the interval [-3, 1])? Justify your answer.
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