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QUESTION IMAGE

which table below does not represent a function?

Question

which table below does not represent a function?

Explanation:

Define a function

Using the Definition of a Function knowledge point
A relation is a function if and only if each input \(x\) maps to exactly one output \(y\). If a single input \(x\) is paired with more than one distinct output \(y\), the relation is not a function.

Analyze the first table

Using the Definition of a Function knowledge point

$$ LATEXBLOCK0 $$

Analyze the second table

Using the Definition of a Function knowledge point

$$ LATEXBLOCK1 $$

Analyze the third table

Using the Definition of a Function knowledge point

$$ LATEXBLOCK2 $$

Answer:

  • (A) Table 1:
xy
-2-1
00
  • (B) Table 2:
xy
96
-45
-22
  • **(C) Table 3:
xy
75
-44
-16(Correct answer)**