Answered

Westonci.ca is the premier destination for reliable answers to your questions, brought to you by a community of experts. Get quick and reliable solutions to your questions from a community of experienced experts on our platform. Join our Q&A platform to connect with experts dedicated to providing accurate answers to your questions in various fields.

Select the correct answer.

Which of these tables represents a function?
\begin{tabular}{|c|c|c|c|c|c|c|c|}
\hline[tex]$x$[/tex] & [tex]$y$[/tex] & [tex]$x$[/tex] & [tex]$y$[/tex] & [tex]$x$[/tex] & [tex]$y$[/tex] & [tex]$x$[/tex] & [tex]$y$[/tex] \\
\hline-1 & 15 & 0 & 4 & 4 & 0 & 6 & -2 \\
\hline-2 & 6 & 6 & 15 & -1 & -2 & 4 & 0 \\
\hline 0 & 15 & 0 & 6 & 6 & -2 & 15 & -1 \\
\hline 4 & 6 & -2 & -1 & 6 & 15 & 4 & 3 \\
\hline
\end{tabular}

A. W
B. X
C. Y
D. Z

Sagot :

GinnyAnswer
To determine which table represents a function, we need to verify that each input [tex]\( x \)[/tex] is associated with exactly one output [tex]\( y \)[/tex]. In other words, there should be no repeated [tex]\( x \)[/tex] values with different [tex]\( y \)[/tex] values.

Let's analyze each column of the table:

- Column W:
- Row 1: [tex]\( (-1, 15) \)[/tex]
- Row 2: [tex]\( (-2, 6) \)[/tex]
- Row 3: [tex]\( (0, 15) \)[/tex]
- Row 4: [tex]\( (4, 6) \)[/tex]

There are no repeated [tex]\( x \)[/tex] values; each [tex]\( x \)[/tex] is matched with exactly one [tex]\( y \)[/tex].

- Column X:
- Row 1: [tex]\( (0, 4) \)[/tex]
- Row 2: [tex]\( (6, 15) \)[/tex]
- Row 3: [tex]\( (0, 6) \)[/tex]
- Row 4: [tex]\( (-2, -1) \)[/tex]

Here, the [tex]\( x \)[/tex] value 0 appears twice with different [tex]\( y \)[/tex] values (first as [tex]\( (0, 4) \)[/tex] and then as [tex]\( (0, 6) \)[/tex]). This means it does not represent a function.

- Column Y:
- Row 1: [tex]\( (4, 0) \)[/tex]
- Row 2: [tex]\( (-1, -2) \)[/tex]
- Row 3: [tex]\( (6, -2) \)[/tex]
- Row 4: [tex]\( (6, 15) \)[/tex]

Here, the [tex]\( x \)[/tex] value 6 appears twice with different [tex]\( y \)[/tex] values (first as [tex]\( (6, -2) \)[/tex] and then as [tex]\( (6, 15) \)[/tex]). This means it does not represent a function.

- Column Z:
- Row 1: [tex]\( (6, -2) \)[/tex]
- Row 2: [tex]\( (4, 0) \)[/tex]
- Row 3: [tex]\( (15, -1) \)[/tex]
- Row 4: [tex]\( (4, 3) \)[/tex]

Here, the [tex]\( x \)[/tex] value 4 appears twice with different [tex]\( y \)[/tex] values (first as [tex]\( (4, 0) \)[/tex] and then as [tex]\( (4, 3) \)[/tex]). This means it does not represent a function.

Based on this analysis, the correct answer is:

A. W
Thank you for choosing our platform. We're dedicated to providing the best answers for all your questions. Visit us again. We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. Thank you for visiting Westonci.ca. Stay informed by coming back for more detailed answers.