Find the range of the function defined by the table below. Express your answer as a set of numbers.xx yy99 44minus, 8−8 minus, 4−433 441010 8800 101044 1010

1. Break Down the Problem

We need to find the range of the function as defined by the provided table of values. The range is the set of output values (y-values) corresponding to given input values (x-values).

2. Relevant Concepts

• The range of a function is the set of all possible output values.
• From the table, we will extract the unique y-values.

3. Analysis and Detail

Let's extract the y-values from the table:

• For $x = 99$, $y = 44$
• For $x = -8$, $y = -4$
• For $x = 33$, $y = 44$
• For $x = 10$, $y = 80$
• For $x = 0$, $y = 10$
• For $x = 44$, $y = 10$

Now we list all the y-values we have obtained:

• $44$
• $-4$
• $80$
• $10$

Next, we identify the unique y-values:

• Unique y-values: $-4, 10, 44, 80$

4. Verify and Summarize

By taking the unique y-values, we conclude that:

• The range of the function is the set of these values.

Final Answer

The range of the function is $\{-4, 10, 44, 80\}$.