Question

Which of the following collection of ordered pair represents Function if collection of first element of ordered pairs is domain of the function?

• A. $(6,2),(7,5),(25,19)$
• B. $(1,2),(1,5),(2,10)$
• C. $(10,0),(11,12),(10,3)$
• D. $(3,7),(2,111),(3,19.5)$

Answer 1

The correct option is A $(6,2),(7,5),(25,19)$

We know when the function is written in the form of ordered pair of $(x,y)$, then value of $x$ represents the input value and the value of $y$ represents the output value and we also know that every input associated to unique output represents function so in ordered pairs, value of $x$ should not repeat.
In option $\left(b\right)$, $1$ is repeating, in option $\left(c\right)$ $10$ is repeating and in option $\left(d\right)$, $3$ is repeating. So only option $\left(a\right)$ represents function.