Problem 2 - Let f(x) the following piece-wise defined function where a and b are constants if x-1 -a, f (x)= 1 COS if -1 1 -bx2x, if 1 a) Find the domain of f(x) b) Evaluate lim I+1t f() and lim f (x) 1- c) Find a such that f(x) is continuous at -1 - d) Find b such that f(x) is continuous at 1 e) With the help of a graphing utility sketch the graph of f(x) with a and b values found in c) and d) Let alr and hc) be the following piece-wise defined functions Prohlem 3-

Question

Problem 2 in attached image

Problem 2 - Let f(x) the following piece-wise defined function where a and b are constants
if x-1
-a,
f (x)=
1
COS
if -1 1
-bx2x,
if 1
a) Find the domain of f(x)
b) Evaluate lim
I+1t
f() and lim f (x)
1-
c) Find a such that f(x) is continuous at -1 -
d) Find b such that f(x) is continuous at 1
e) With the help of a graphing utility sketch the graph of f(x) with a and b values found in c) and d)
Let alr and hc) be the following piece-wise defined functions
Prohlem 3-

Image Transcription

Problem 2 - Let f(x) the following piece-wise defined function where a and b are constants if x-1 -a, f (x)= 1 COS if -1 1 -bx2x, if 1 a) Find the domain of f(x) b) Evaluate lim I+1t f() and lim f (x) 1- c) Find a such that f(x) is continuous at -1 - d) Find b such that f(x) is continuous at 1 e) With the help of a graphing utility sketch the graph of f(x) with a and b values found in c) and d) Let alr and hc) be the following piece-wise defined functions Prohlem 3-

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