3. Classify the following functions as either odd, even or neither. (a) f(x)=x² +2,- -∞

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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2. Define the function shown plotted in the graph below and state its period:
(d) f(x)=.
f(x)
(e) f(x)=
2
-1
1
3. Classify the following functions as either odd, even or neither.
(a) f(x)= x² +2, -∞<x<∞.
(b) f(x)=2x, -∞<x<∞.
(c) f(x)= tan x, -a/2<x</2.
-4,-3<x<0,
4, 0<x<3.
1.7
3
5
x,-2<x<0,
-x, 0<x<2.
X
Transcribed Image Text:2. Define the function shown plotted in the graph below and state its period: (d) f(x)=. f(x) (e) f(x)= 2 -1 1 3. Classify the following functions as either odd, even or neither. (a) f(x)= x² +2, -∞<x<∞. (b) f(x)=2x, -∞<x<∞. (c) f(x)= tan x, -a/2<x</2. -4,-3<x<0, 4, 0<x<3. 1.7 3 5 x,-2<x<0, -x, 0<x<2. X
Expert Solution
Step 1: Note:-

As per our guidelines, we can only answer one question. Kindly repost the rest questions separately with a specific question number.

We solve question 3 with all of its sub-parts. 

A function is said to be even iff f(x)=f(-x) 

And is said to be odd iff f(x)= -f(-x). 

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