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MMLU-Pro / 8716 / When the graph of a certain function f(x) is shifted 2 units to the right…

Problem

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

question

When the graph of a certain function f(x)f(x) is shifted 22 units to the right and stretched vertically by a factor of 22 (meaning that all yy-coordinates are doubled), the resulting figure is identical to the original graph. Given that f(0)=0.1f(0)=0.1, what is f(10)f(10)?
Plain-text mathematical notation (without MathML)
When the graph of a certain function f(x) is shifted 2 units to the right and stretched vertically by a factor of 2 (meaning that all y-coordinates are doubled), the resulting figure is identical to the original graph. Given that f(0)=0.1, what is f(10)?
Original LaTeX notation
When the graph of a certain function $f(x)$ is shifted $2$ units to the right and stretched vertically by a factor of $2$ (meaning that all $y$-coordinates are doubled), the resulting figure is identical to the original graph. Given that $f(0)=0.1$, what is $f(10)$?

category

math

options

  1. 0.01
  2. 32
  3. 3.2
  4. 5
  5. 1
  6. 0.2
  7. 0.5
  8. 2
  9. 10
  10. 20

src

ori_mmlu-high_school_mathematics

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Source and history

upstream_id / Original problem ID
8716
task_id
b267684d-0a72-5c21-8880-3c39092a43ea
task_key
default--test--8716
task_revision_id
1
config / split
default / test

Official source

initial import