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Determine if the following is a function, and if it is a one-to-one function.

{(9,0),(7,7),(7,5),(5,9),(8,8)}
Not a function
A function, not one-to-one
A one-to-one function

Determine if the following is a function, and if it is a one-to-one function.\newline{(9,0),(7,7),(7,5),(5,9),(8,8)} \{(9,0),(7,7),(7,5),(5,9),(8,8)\} \newlineNot a function\newlineA function, not one-to-one\newlineA one-to-one function

Full solution

Q. Determine if the following is a function, and if it is a one-to-one function.\newline{(9,0),(7,7),(7,5),(5,9),(8,8)} \{(9,0),(7,7),(7,5),(5,9),(8,8)\} \newlineNot a function\newlineA function, not one-to-one\newlineA one-to-one function
  1. Check Input-Output Mapping: To determine if the given set of ordered pairs represents a function, we need to check if each input (first component of each ordered pair) maps to exactly one output (second component of each ordered pair).
  2. Examine Ordered Pairs: Examine the set of ordered pairs: (9,0),(7,7),(7,5),(5,9),(8,8){(9,0),(7,7),(7,5),(5,9),(8,8)}. We notice that the input 7'7' is associated with two different outputs: 7'7' and 5'5'.
  3. Identify Multiple Outputs: Since the input 77 maps to more than one output, the set of ordered pairs does not represent a function.\newlineWe can stop here as the definition of a function is not satisfied.

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