FAQ Q2 WEEK 2

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Nov 21, 2020, 6:16:14 AM11/21/20

to Discussion forum for Mathematics for Data Science I

2. Suppose f : Z → Z is a function defined by f(x) = Ax + B. For which of the following

integer values of A and B, is the given function bijective?

(a) A = 0, B = { z | z ∈ Z}

(b) A = {-1, 1}, B = {z | z ∈ Z}

(c) B = {-1, 1}, A = 0

(d) B = 0, A = { z | z ∈ Z}

IS (a) Injective? And why not surjective when function have same codomain and range? What way it is different??

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Nov 21, 2020, 6:27:17 AM11/21/20

to Discussion forum for Mathematics for Data Science I, Brajesh Kedia

Also (a) B has many preimage right? It's just its not function of b but a constant b that is why not same codomain and domain, right?

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Nov 21, 2020, 7:00:56 AM11/21/20

to Discussion forum for Mathematics for Data Science I, brajesh...@gmail.com

Dear learner,

Please see FAQ2 of week1.

Best wishes

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Nov 21, 2020, 10:06:33 AM11/21/20

to Discussion forum for Mathematics for Data Science I, shubha...@onlinedegree.iitm.ac.in, Brajesh Kedia

I am raising the question from there itself actually as we have been not shown with values representation.

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