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

{(5,1),(4,7),(3,3),(1,8),(5,9)}
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{(5,1),(4,7),(3,3),(1,8),(5,9)} \{(5,1),(4,7),(3,3),(1,8),(5,9)\} \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{(5,1),(4,7),(3,3),(1,8),(5,9)} \{(5,1),(4,7),(3,3),(1,8),(5,9)\} \newlineNot a function\newlineA function, not one-to-one\newlineA one-to-one function
  1. Identify xx-values: Identify the xx-values from the given set of ordered pairs. The ordered pairs are (5,1)(5,1), (4,7)(4,7), (3,3)(3,3), (1,8)(1,8), (5,9)(5,9). The xx-values are 55, 44, xx00, xx11, 55.
  2. Check for repetition: Check for repeated xx-values. The xx-values identified are 55, 44, 33, 11, 55. We can see that the value 55 is repeated.
  3. Determine function status: Determine if the relation is a function. A relation is a function if each xx-value corresponds to exactly one yy-value. Since the xx-value 55 corresponds to two different yy-values (11 and 99), the relation is not a function.

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