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Let f lx) =) Ix\ - 1 x² -1 if Ixl =| SKetch a graph of f indicating points of removable° discontinuity Observe x?-1=((x\-1)(1x| +1) so f (a)=Ax|+1 when Ixl #1 %3D

Let f lx) =) Ix\ - 1 x² -1 if Ixl =| SKetch a graph of f indicating points of removable° discontinuity Observe x?-1=((x\-1)(1x| +1) so f (a)=Ax|+1 when Ixl #1 %3D

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Sketch a graph. See image

Let f lx) =) Lx\ - 1 x² -1 %3D 2. if Ixl=| SKetch a graph of f of removable° discontinuity Ob serve X²-1=(\x\-1)(x +1) so f (x) = indicating points 2 Ix+1 when Ixl#1 %3D
Transcribed Image Text:Let f lx) =) Lx\ - 1 x² -1 %3D 2. if Ixl=| SKetch a graph of f of removable° discontinuity Ob serve X²-1=(\x\-1)(x +1) so f (x) = indicating points 2 Ix+1 when Ixl#1 %3D
Expert Solution
Step 1

The given function is 

f(x)=|x|-1x2-1      if |x|≠10              if |x|=1

We know 

x2-1=(|x|-1)(|x|+1)

So, the given function can be re-written as 

f(x)=|x|-1(|x|-1)(|x|+1)      if |x|≠10              if |x|=1

f(x)=1(|x|+1)      if |x|≠10              if |x|=1

The graph of the function is shown below.

 

 

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