Finding the Domain and Range of a Function Using a Table

If you want to find the domain and range of a function using a table, here’s how you can do it in a few simple steps:

Step 1: Find the Domain (Input Values)

• Look at the first column of the table. This column has all the $x$ values (inputs).
• List down all the different $x$ values without repeating any.
• For example, if the $x$ values are $1, 2, 3, 4$, then the domain is $\{1, 2, 3, 4\}$.

Step 2: Find the Range (Output Values)

• Now, check the second column. This column shows the $y$ values (outputs).
• Just like before, write down all the different $y$ values without repeating.
• If the $y$ values are $2, 4, 6$, then the range is $\{2, 4, 6\}$.

Step 3: Write It Down

• Write your findings neatly:
  • Domain: $\{x_1, x_2, x_3, ..., x_n\}$
  • Range: $\{y_1, y_2, y_3, ..., y_m\}$

By following these steps, you can easily understand the possible inputs and outputs for the function.