(x+1 Q. #7 For the function g(x) = 3 if x < 2 if x=2, please find b-x² if x>2 constant "b" that makes g(x) continuous at x=2 Final Answer

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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[x+1]
3
Q. #7 For the function g(x) = -
if x < 2
if x=2, please find
if x>2
b-x²
constant "b" that makes g(x) continuous at x=2
Q. # 8-Q.#10 Please use the function shown at the right for these questions.
Q.#8 For this function, please do the following.
a) Use the definition of continuity to determine algebraically if f(x)
is continuous at x = -1.
b) If a discontinuity at x = -1, classify it as removable or non-removable.
If non-removable, is it jump or infinite?
Final Answer
3
1- x
f(x)= 1
x-2
x²-4
for x < -1
, for x=-1
for x>-1
Final Answer (yes or no)
Removable
Final Answer (circle)
No discontinuity
Transcribed Image Text:[x+1] 3 Q. #7 For the function g(x) = - if x < 2 if x=2, please find if x>2 b-x² constant "b" that makes g(x) continuous at x=2 Q. # 8-Q.#10 Please use the function shown at the right for these questions. Q.#8 For this function, please do the following. a) Use the definition of continuity to determine algebraically if f(x) is continuous at x = -1. b) If a discontinuity at x = -1, classify it as removable or non-removable. If non-removable, is it jump or infinite? Final Answer 3 1- x f(x)= 1 x-2 x²-4 for x < -1 , for x=-1 for x>-1 Final Answer (yes or no) Removable Final Answer (circle) No discontinuity
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