Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Which set of ordered pairs does not represent a function?

{(-7,-4),(-4,8),(9,-7),(-3,2)}

{(-9,4),(5,-3),(3,-9),(-1,4)}

{(3,-4),(1,5),(3,-1),(-6,4)}

{(9,-6),(-8,-6),(-7,-1),(2,4)}

Which set of ordered pairs does not represent a function?\newline{(7,4),(4,8),(9,7),(3,2)} \{(-7,-4),(-4,8),(9,-7),(-3,2)\} \newline{(9,4),(5,3),(3,9),(1,4)} \{(-9,4),(5,-3),(3,-9),(-1,4)\} \newline{(3,4),(1,5),(3,1),(6,4)} \{(3,-4),(1,5),(3,-1),(-6,4)\} \newline{(9,6),(8,6),(7,1),(2,4)} \{(9,-6),(-8,-6),(-7,-1),(2,4)\}

Full solution

Q. Which set of ordered pairs does not represent a function?\newline{(7,4),(4,8),(9,7),(3,2)} \{(-7,-4),(-4,8),(9,-7),(-3,2)\} \newline{(9,4),(5,3),(3,9),(1,4)} \{(-9,4),(5,-3),(3,-9),(-1,4)\} \newline{(3,4),(1,5),(3,1),(6,4)} \{(3,-4),(1,5),(3,-1),(-6,4)\} \newline{(9,6),(8,6),(7,1),(2,4)} \{(9,-6),(-8,-6),(-7,-1),(2,4)\}
  1. Define function as relation: A function is defined as a relation where each input ( extit{x}-value) has exactly one output ( extit{y}-value). To determine which set of ordered pairs does not represent a function, we need to check if there are any repeated extit{x}-values with different extit{y}-values in each set.
  2. Check first set: Check the first set (7,4),(4,8),(9,7),(3,2){(-7,-4),(-4,8),(9,-7),(-3,2)} for any repeated xx-values with different yy-values.\newlineThere are no repeated xx-values in this set, so this set represents a function.
  3. Check second set: Check the second set (9,4),(5,3),(3,9),(1,4){(-9,4),(5,-3),(3,-9),(-1,4)} for any repeated xx-values with different yy-values.\newlineThere are no repeated xx-values in this set, so this set represents a function.
  4. Check third set: Check the third set {(3,4),(1,5),(3,1),(6,4)}\{(3,-4),(1,5),(3,-1),(-6,4)\} for any repeated xx-values with different yy-values.\newlineThe xx-value 33 appears twice with different yy-values (4-4 and 1-1), so this set does not represent a function.
  5. Check fourth set: Check the fourth set (9,6),(8,6),(7,1),(2,4){(9,-6),(-8,-6),(-7,-1),(2,4)} for any repeated xx-values with different yy-values.\newlineThere are no repeated xx-values in this set, so this set represents a function.

More problems from Write a quadratic function from its x-intercepts and another point