Relations and Functions — Quiz

Question 8 • College Readiness Mathematics

Which relation represents a function?

Answer

start set open paren 3 comma 5 close paren comma open paren 8 comma 4 close paren comma open paren 10 comma 11 close paren comma open paren 10 comma 6 close paren end set

start set open paren negative 2 comma 2 close paren comma open paren 0 comma 2 close paren comma open paren 7 comma 2 close paren comma open paren 11 comma 2 close paren end set

start set open paren 13 comma 2 close paren comma open paren 13 comma 3 close paren comma open paren 13 comma 4 close paren comma open paren 13 comma 5 close paren end set

start set open paren 0 comma 0 close paren comma open paren 2 comma 3 close paren comma open paren 2 comma 5 close paren comma open paren 6 comma 6 close paren end set

Explanation

A relation is a function if each input (the first coordinate) is paired with exactly one output. In choice B, the inputs −2, 0, 7, and 11 are all different, so each has just one output. The other choices repeat an input with different outputs, so they are not functions.

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