Problem 1-75 Chiu loves tables! He has decided to make the table on the right for a function \( f(x) \) to help him find its domain and range. a. From his table, can you tell what the domain of \( f(x) \) is? Why or why not?

To determine the domain of a function \( f(x) \) from a table, we need to look at the values of \( x \) that are included in the table. The domain consists of all the input values (or \( x \)-values) for which the function is defined. If the table lists specific \( x \)-values, we can identify the domain by noting those values. For example, if the table includes \( x \) values like -2, -1, 0, 1, and 2, then the domain of \( f(x) \) would be \( \{-2, -1, 0, 1, 2\} \). However, if the table does not provide a complete set of \( x \)-values or if it only shows a few points without indicating a pattern or rule, we may not be able to definitively determine the entire domain. In such cases, we might only be able to identify the domain based on the values present in the table. In summary, to answer the question about whether we can tell what the domain of \( f(x) \) is, we would need to examine the specific \( x \)-values listed in Chiu's table. If all possible \( x \)-values are included, we can determine the domain; if not, we may only have partial information.