(c) We consider the function F defined by 4b, if t≤-2 if − 2 1 (i) determine the limits A. lim F(t) and lim F(t) t-2- t-2+ lim F(t) and lim F(t) B. t 1- C. t 1+ Find the values of a and b so that F is continuous at t = 1 and at t = −2.

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 2SE: If a functionfis increasing on (a,b) and decreasing on (b,c) , then what can be said about the local...
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Exercise 231

(c) We consider the function F defined by
4b,
if t≤-2
if − 2<t≤1
F(t) :=
3+²
t + a
if t> 1
(i) determine the limits
A. lim F(t) and lim F(t)
t-2-
t-2+
lim F(t) and lim F(t)
B.
t 1-
C.
t 1+
Find the values of a and b so that F is continuous at t = 1 and at t = −2.
Transcribed Image Text:(c) We consider the function F defined by 4b, if t≤-2 if − 2<t≤1 F(t) := 3+² t + a if t> 1 (i) determine the limits A. lim F(t) and lim F(t) t-2- t-2+ lim F(t) and lim F(t) B. t 1- C. t 1+ Find the values of a and b so that F is continuous at t = 1 and at t = −2.
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