Question
Asked Dec 15, 2019
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Hey, I've been having trouble understanding how to get the intervals on where the function is continuous. Also knowing if the function is continuous or not. Can you please explain with the example? Thank you!

HI-TEC-C
Find the intervals where the functoon
Ts contin Vous.
SW)=2x'+3x+1
x²-2x-3
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HI-TEC-C Find the intervals where the functoon Ts contin Vous. SW)=2x'+3x+1 x²-2x-3

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Expert Answer

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Step 1

Given function is 

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2x +3x+1 f(x)=-2x- 3

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Step 2

f(x) can be written as 

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2x? +3x +1 2x + 3x +1 (x-3)(x+1) 2x + 3x +1 x - 3x + x – 3 =- f (x): x - 2x – 3

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Step 3

Since , f(x) is not defined at x=3 and x=-1, so f(x) is continuous everywhere excep...

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(-0,-1)U(-1,3)U(3,)

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Tagged in
MathCalculus

Continuity