California Assessment of Student Performance and Progress (CAASPP) Math Practice Exam

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In the context of functions, what is the domain?

  1. All the possible y-values

  2. All the possible x-values

  3. The relationship between x and y

  4. The maximum value of y

The correct answer is: All the possible x-values

The domain refers to the set of all possible input values, specifically the x-values, for which a function is defined. In other words, it includes every value that you can substitute into the function without encountering an undefined situation, such as division by zero or taking the square root of a negative number. For instance, if you have a function f(x) = 1/(x-2), the domain would include all real numbers except for x = 2, since plugging in 2 would make the denominator zero, rendering the function undefined. This illustrates that the concept of domain is fundamentally about the x-values, making it clear why the identified answer is correct.

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