Q2. Consider the function defined by f:P(N)→Z+ ƒ(A) = |A|+1 i. ii. iii. iv. Find the image of f Is f one to one? Explain why or why not? Is fonto? Explain why or why not? Does f¹ exist? Explain why or why not?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Q2. Consider the function defined by
f:P(N)→Z*
f(4)=|4|+1
i.
Find the image of f
Is f one to one? Explain why or why not?
Is f onto? Explain why or why not?
ii.
iii.
iv.
Does f exist? Explain why or why not?
Transcribed Image Text:Q2. Consider the function defined by f:P(N)→Z* f(4)=|4|+1 i. Find the image of f Is f one to one? Explain why or why not? Is f onto? Explain why or why not? ii. iii. iv. Does f exist? Explain why or why not?
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