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MMLU / Suppose the graph of y=f(x) includes the points (1,5), (2,3), and (3,1).…

Problem

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

question

Suppose the graph of y=f(x)y=f(x) includes the points (1,5),(1,5), (2,3),(2,3), and (3,1)(3,1). Based only on this information, there are two points that must be on the graph of y=f(f(x))y=f(f(x)). If we call those points (a,b)(a,b) and (c,d),(c,d), what is ab+cdab+cd?
Plain-text mathematical notation (without MathML)
Suppose the graph of y=f(x) includes the points (1,5), (2,3), and (3,1). Based only on this information, there are two points that must be on the graph of y=f(f(x)). If we call those points (a,b) and (c,d), what is ab+cd?
Original LaTeX notation
Suppose the graph of $y=f(x)$ includes the points $(1,5),$ $(2,3),$ and $(3,1)$. Based only on this information, there are two points that must be on the graph of $y=f(f(x))$. If we call those points $(a,b)$ and $(c,d),$ what is $ab+cd$?

choices

  1. 15
  2. 5
  3. 9
  4. 17

subject

high_school_mathematics

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Source and history

task_id
bfc1adf5-86ef-5595-85b0-e959c5384459
task_key
all--test--bfc1adf5-86ef-5595-85b0-e959c5384459
task_revision_id
1
config / split
all / test

Official source

initial import