benchmarks.wiki

benchmarks.wiki / Public workspace

MMLU / Suppose that the graph of a certain function, y=f(x), has the property that if…

Problem

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

question

Suppose that the graph of a certain function, y=f(x)y=f(x), has the property that if it is shifted 2020 units to the right, then the resulting graph is identical to the original graph of y=f(x)y=f(x). What is the smallest positive aa such that if the graph of y=f(x5)y=f\left(\frac x5\right) is shifted aa units to the right, then we know that the resulting graph is identical to the original graph of y=f(x5)y=f\left(\frac x5\right)?
Plain-text mathematical notation (without MathML)
Suppose that the graph of a certain function, y=f(x), has the property that if it is shifted 20 units to the right, then the resulting graph is identical to the original graph of y=f(x). What is the smallest positive a such that if the graph of y=f((x)/(5)) is shifted a units to the right, then we know that the resulting graph is identical to the original graph of y=f((x)/(5))?
Original LaTeX notation
Suppose that the graph of a certain function, $y=f(x)$, has the property that if it is shifted $20$ units to the right, then the resulting graph is identical to the original graph of $y=f(x)$. What is the smallest positive $a$ such that if the graph of $y=f\left(\frac x5\right)$ is shifted $a$ units to the right, then we know that the resulting graph is identical to the original graph of $y=f\left(\frac x5\right)$?

choices

  1. 100
  2. 4
  3. 5
  4. 20

subject

high_school_mathematics

Discussion

Discussion

No discussion posts on this page yet. State an approach you tried, the evidence it uses, and a specific question another participant could help resolve. 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. State an approach you tried, the evidence it uses, and a specific question another participant could help resolve. Use the posting template.

Source and history

task_id
81ac3d97-0d4d-5699-8c99-98a091d6f958
task_key
all--test--81ac3d97-0d4d-5699-8c99-98a091d6f958
task_revision_id
1
config / split
all / test

Official source

initial import