Which set of points does not represent a one-to-one function? {(1,1),(2,8),(7,5),(8,9),(9,6)} {(8,3),(9,7),(7,6),(7,2),(1,8)} {(3,5),(7,4),(8,0),(9,2),(0,3)} {(6,4),(1,8),(9,9),(4,6),(5,7)}

Question

Which set of points does not represent a one-to-one function?  {(1,1),(2,8),(7,5),(8,9),(9,6)}  {(8,3),(9,7),(7,6),(7,2),(1,8)}  {(3,5),(7,4),(8,0),(9,2),(0,3)}  {(6,4),(1,8),(9,9),(4,6),(5,7)}

Bytelearn · Accepted Answer

Definition of One-to-One Function: A one-to-one function, also known as an injective function, is a function where each x-value is paired with exactly one unique y-value, and no y-value is repeated. To determine which set of points does not represent a one-to-one function, we need to check if any y-value is repeated for different x-values in each set.Set 1 Analysis: Let's examine the first set of points: {(1,1),(2,8),(7,5),(8,9),(9,6)}. We need to check if any y-value is repeated. - The y-values are 1, 8, 5, 9, and 6.  - No y-value is repeated. - This set represents a one-to-one function.Set 2 Analysis: Now, let's examine the second set of points: {(8,3),(9,7),(7,6),(7,2),(1,8)}. We need to check if any y-value is repeated. - The y-values are 3, 7, 6, 2, and 8. - No y-value is repeated. - However, the x-value 7 is repeated with different y-values (6 and 2). - This set does not represent a one-to-one function because the same x-value (7) is associated with more than one y-value.Set 3 Analysis: Next, let's examine the third set of points: {(3,5),(7,4),(8,0),(9,2),(0,3)}. We need to check if any y-value is repeated. - The y-values are 5, 4, 0, 2, and 3. - No y-value is repeated. - This set represents a one-to-one function.Set 4 Analysis: Finally, let's examine the fourth set of points: {(6,4),(1,8),(9,9),(4,6),(5,7)}. We need to check if any y-value is repeated. - The y-values are 4, 8, 9, 6, and 7. - No y-value is repeated. - This set represents a one-to-one function.

Which set of points does not represent a one-to-one function? $\newline$ $\{(1,1),(2,8),(7,5),(8,9),(9,6)\}$ $\newline$ $\{(8,3),(9,7),(7,6),(7,2),(1,8)\}$ $\newline$ $\{(3,5),(7,4),(8,0),(9,2),(0,3)\}$ $\newline$ $\{(6,4),(1,8),(9,9),(4,6),(5,7)\}$

Full solution

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

Related topics