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anonymous
 4 years ago
Let f(x)={4x−1, if x≤3......
.............−5x+b, if x>3
If f(x) is a function which is continuous everywhere, then we must have
b=
anonymous
 4 years ago
Let f(x)={4x−1, if x≤3...... .............−5x+b, if x>3 If f(x) is a function which is continuous everywhere, then we must have b=

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myininaya
 4 years ago
Best ResponseYou've already chosen the best response.0do the left limit and right limit for x=3 and set them equal and solve for b

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0how would i go about solving this one...same way? For what value of the constant c is the function f continuous on (−∞,∞) where f(x)=...... cx+8 if x∈(−∞,2] ....... cx^2−8 if x∈(2,∞)......

myininaya
 4 years ago
Best ResponseYou've already chosen the best response.0yes you look at the left limit and right limit for x=2

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0hey so for the first problem...i used 4(3)1 = 11 and 5(3.1)+b = 15.5 + b. So I set 15.5 + b = 11 and I did the algebra and ended up with 4.5. what did i do wrong?

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0yeah shouldnt u get a 4.5 after you do the algebra

myininaya
 4 years ago
Best ResponseYou've already chosen the best response.0i don't know i can perform the operations if you want me too

myininaya
 4 years ago
Best ResponseYou've already chosen the best response.04(3)=12 121=11 5(3)=15 so we have 11=15+b By adding 15 on both sides we get 26=b

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0oh snap i did it backward haha thanks

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0can i use 1.5 and 3 for the second question

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0how would i go about solving this one...same way? For what value of the constant c is the function f continuous on (−∞,∞) where f(x)=...... cx+8 if x∈(−∞,2] ....... cx^2−8 if x∈(2,∞)...... once again i have to approach from both sides...if im approaching from left can I use x=1.5 and right x=3?

myininaya
 4 years ago
Best ResponseYou've already chosen the best response.0what no just before we plugged in 3 for both sides here we do 2
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