Determine the domain and range for the relation.

R={(x,y)||x∈ℤ and y =2x}

Question

Determine the domain and range for the relation.

R={(x,y)||x∈ℤ and y =2x}

KyledaGreat · Answer

attachment

KyledaGreat · Answer

@minustempo

minustempo · Answer

Alright. So first of all, the question directly gives you the domain because it says that x is in the set of all integers.

KyledaGreat · Answer

okay that would be R

minustempo · Answer

No the set of all integers is Z

minustempo · Answer

R is the set of all real numbers

KyledaGreat · Answer

oh alright

KyledaGreat · Answer

that would be the domain and next , the range would be

minustempo · Answer

if the domain is all the integers, then the set of all integers multiplied by 2 is...

KyledaGreat · Answer

R

minustempo · Answer

an integer multiplied by 2 can't be anything other than an integer though
R includes non-integers

minustempo · Answer

It's the set of even integers

KyledaGreat · Answer

oh my apologizes, that would be Z because it represents integers

minustempo · Answer

Are you sure it's Z though? You cannot get 1 by multiplying an integer by 2.

KyledaGreat · Answer

hmm

KyledaGreat · Answer

those would be natural numbers

minustempo · Answer

The range wouldn't be the natural numbers because those don't include negative numbers.

The answer is the even integers.

KyledaGreat · Answer

oh i have everything wrong

KyledaGreat · Answer

Even Z would be the even integers ?

badB123 · Answer

ok thanks