o f(x) f(x) is not a function because when x < 0 f(0) is undefined < 0 is undefined is defined

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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Why is f not a function from R to R if

b) f(x) = VT ?
f(x) is not a function because when x
is undefined
< 0
f0)
< 0
is undefined
Vo
is defined
f(x)
= 0.1
is true
>0
is false
f(0)
Reset
Transcribed Image Text:b) f(x) = VT ? f(x) is not a function because when x is undefined < 0 f0) < 0 is undefined Vo is defined f(x) = 0.1 is true >0 is false f(0) Reset
c) f(x) = ± Vx² + 1?
f(x) is not a function because when x
f(
f(-5)
is defined
is positive
f(x)
has two distinct
= +V-24
is undefined
is a real number
values
= 5
is negative
Reset
Transcribed Image Text:c) f(x) = ± Vx² + 1? f(x) is not a function because when x f( f(-5) is defined is positive f(x) has two distinct = +V-24 is undefined is a real number values = 5 is negative Reset
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