Question

consider the data set shown on the graph.
what point should be removed from the data set to have the graph represent a function? enter the ordered pair in the boxes.
(□,□)

Explanation:

Step1: Recall function definition

A function has exactly one output ($y$-value) for each input ($x$-value).

Step2: Identify duplicate $x$-values

Check each $x$-coordinate:

• $x=-5$: $y=-2, -4$ (duplicate input)
• $x=0$: $y=-1, -3$ (duplicate input)
• All other $x$-values have unique $y$-values.

Step3: Select removable point

Either point from the duplicate $x$-value sets works. For $x=0$, we can remove $(0, -1)$ or $(0, -3)$; for $x=-5$, we can remove $(-5, -2)$ or $(-5, -4)$. A common choice is $(0, -1)$.

Answer:

$(0, -1)$
Note: $(0, -3)$, $(-5, -2)$, or $(-5, -4)$ are also valid correct answers.