Which term describes the set of all possible input values for a function?

The term that describes the set of all possible input values for a function is "domain." In mathematical terms, the domain refers to the collection of all x-values (or inputs) that you can use to evaluate a function. Understanding the domain is crucial because it defines the scope of the function—what values can be plugged in without leading to undefined or non-real results.

For example, if you have a function that includes a denominator, the domain needs to exclude any values that would cause division by zero. Additionally, when working with square roots or logarithmic functions, the domain is limited based on the requirements that ensure the values remain valid.

The other terms are relevant in different contexts: "range" refers to the set of possible output values from the function, "coefficient" pertains to the numerical factors that multiply variables in algebraic expressions, and "value set" is not a standard mathematical term used to describe the input values of functions. Thus, understanding the definition and role of the domain helps clarify how functions operate and what inputs are permissible for analysis.