Ask your own question, for FREE!
Mathematics 11 Online
OpenStudy (cail):

I need help! Reasoning: Can a function have an infinite number of values in its domain and only a finite number of values in its range? If so, describe a real-world situation that could be modeled by such a function. Writing: What is the difference between a relation and a function? Is every relation a function? Is every function a relation? Explain.

OpenStudy (zzr0ck3r):

f(x) = 1

OpenStudy (zzr0ck3r):

what is the domain?

OpenStudy (cail):

what is that

OpenStudy (zzr0ck3r):

Do you know what a function, what domain, and what range is?

OpenStudy (cail):

yeah

OpenStudy (zzr0ck3r):

does the function f(x) = 2x make sense to you?

OpenStudy (cail):

no nothing makes sense, do you now the answer

OpenStudy (zzr0ck3r):

\(f(x) = 1 \) is the constant function, where the no matter what we put in for \(x\) we get 1 out for \(y\)

OpenStudy (zzr0ck3r):

we are not here to give you answers, but I will help you find it.:)

OpenStudy (cail):

alright

OpenStudy (cail):

@yeamraz

OpenStudy (zzr0ck3r):

so the domain is all the inputs, and what did I say all the inputs are for f(x) = 1? the range is the outputs, and what did I say the outputs are for f(x) = 1? if you answer that and read the question you will know the answer:)

OpenStudy (cail):

i dont get it :/

OpenStudy (cail):

this problem is due by 12 and i dont get it

OpenStudy (anonymous):

hey whats up? bro im kinda tired im about to knock out but tbh all u have to remember about domain and range is that think boundaries of the maximum value or minimum value or what value it cannot be domain: x and range: y and yea that's all there is to it. goodluck man and goodnight cail and everyone here:)

OpenStudy (cail):

:(

OpenStudy (cail):

thanks anyway:/

OpenStudy (anonymous):

consider the most trivial case, the function \(f:\mathbb{R}\to\{0\}\) defined by \(x\mapsto 0\). It has an infinite domain (\(\mathbb{R}\), the real numbers) but a very finite range (the singleton \(\{0\}\))

Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!
Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!