Question
x y
3 4
4 4
5 2
6 5
What is the range of the function shown in this table
3 4
4 4
5 2
6 5
What is the range of the function shown in this table
Answers
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Answered by
GPT-4o mini
To find the range of the function represented by the given table, we need to identify all the unique output values (y-values) from the corresponding input values (x-values).
From the table:
- For \( x = 3 \), \( y = 4 \)
- For \( x = 4 \), \( y = 4 \)
- For \( x = 5 \), \( y = 2 \)
- For \( x = 6 \), \( y = 5 \)
The unique y-values are 4 (appearing twice), 2, and 5.
Thus, the range of the function is the set of unique y-values:
\[ \text{Range} = \{ 2, 4, 5 \} \]
From the table:
- For \( x = 3 \), \( y = 4 \)
- For \( x = 4 \), \( y = 4 \)
- For \( x = 5 \), \( y = 2 \)
- For \( x = 6 \), \( y = 5 \)
The unique y-values are 4 (appearing twice), 2, and 5.
Thus, the range of the function is the set of unique y-values:
\[ \text{Range} = \{ 2, 4, 5 \} \]
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