x y

3 4
4 4
5 2
6 5

What is the range of the function shown in this table

1 answer

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:

\[ \text{Range} = { 2, 4, 5 } \]