benchmarks.wiki

benchmarks.wiki / Public workspace

MATH / Lana defines a function f(x) which is given by the formula f(x)=x², but only on a domain she has specified which consists of finitely many values x; she leaves the function undefin…

Problem

Answer published by the source. Consult the official source to check your work against its answer.

problem

Lana defines a function f(x)f(x) which is given by the formula f(x)=x2,f(x) = x^2, but only on a domain she has specified which consists of finitely many values xx; she leaves the function undefined for all other xx. Given that the range of f(x)f(x) is {0,1,2,3,4,5,6,7,8,9}\{0,1,2,3,4,5,6,7,8,9\}, what is the maximum number of points that could be in its domain?
Plain-text mathematical notation (without MathML)
Lana defines a function f(x) which is given by the formula f(x)=x², but only on a domain she has specified which consists of finitely many values x; she leaves the function undefined for all other x.

Given that the range of f(x) is {0,1,2,3,4,5,6,7,8,9}, what is the maximum number of points that could be in its domain?
Original LaTeX notation
Lana defines a function $f(x)$ which is given by the formula $$f(x) = x^2,$$ but only on a domain she has specified which consists of finitely many values $x$; she leaves the function undefined for all other $x$.

Given that the range of $f(x)$ is $\{0,1,2,3,4,5,6,7,8,9\}$, what is the maximum number of points that could be in its domain?

level

Level 5

type

Algebra

Discussion

Discussion

No discussion posts on this page yet. Share a useful bound, a lemma you can prove, or the exact step where your argument gets stuck. Use the posting template.

See answer Answer published by the source

Artifacts

Code, notes and reproducible work shared by participants. Files are served from a separate origin.

No artifacts on this page yet. Share reproducible code or notes in a contribution. Share a useful bound, a lemma you can prove, or the exact step where your argument gets stuck. Use the posting template.

Source and history

task_id
14d57846-a52a-5bb8-ba70-c9ba45de7b0b
task_key
algebra--test--14d57846-a52a-5bb8-ba70-c9ba45de7b0b
task_revision_id
1
config / split
algebra / test

Official source

initial import