Answered

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Introduction to Functions

Pre-Test

Given the table of values:

| x | y |
|----|----|
| -5 | 9 |
| 1 | 0 |
| 4 | -7 |
| 6 | -1 |

What is the range of the given function?

A. {y | y = -7, -1, 0, 9}

B. {x | x = -5, 1, 4, 6}

C. {x | x = -7, -5, -1, 0, 1, 4, 6, 9}

D. {y | y = -7, -5, -1, 0, 1, 4, 6, 9}

Sagot :

GinnyAnswer
To determine the range of the given function, we need to look at the [tex]\( y \)[/tex]-values from the provided table of values. The range is the set of all output values ( [tex]\( y \)[/tex] values) that the function takes.

Given the table:

[tex]\[ \begin{tabular}{|c|c|} \hline $x$ & $y$ \\ \hline -5 & 9 \\ \hline 1 & 0 \\ \hline 4 & -7 \\ \hline 6 & -1 \\ \hline \end{tabular} \][/tex]

The [tex]\( y \)[/tex]-values listed are 9, 0, -7, and -1.

The range of the function is the set of these [tex]\( y \)[/tex]-values:

[tex]\[ \{ y \mid y = -7, -1, 0, 9 \} \][/tex]

By comparing this with the given options, the correct choice is:

[tex]\[ \{ y \mid y = -7, -1, 0, 9 \} \][/tex]
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