The domain of a function includes all real input values that would not cause us to attempt an undefined mathematical operation, such as dividing by zero or taking the square root of a negative number. The domain of a function can be determined by listing the input values of a …

Finding the Domain of a Function Defined by an Equation. In Functions and Function Notation, we were introduced to the concepts of domain and range. In this section, we will practice determining domains and ranges for specific functions.

Determine the domain and range of various functions. Define the composition of two functions. Identify functions that are one-to-one by applying the horizontal line test. Calculate the inverse of a one-to-one function. Domain and Range of a Function.

Thus a "function" must be single-valued ("one and only one"). For example, y = 2x + 3. To each value of x there is a unique value of y. Domain and range. The values that x may assume are called the domain of the function. We say that those are the values for which the function is defined. In the function y = 2x + 3, the domain may include all ...

The domain of a function is the set of all inputs for which the function assigns an output. The range of a function is the set of all outputs of the function. The inputs, or elements of the domain, are called the independent variable of the function, and the outputs are the dependent variable.

In pre-calculus, you’ll work with functions and function operations in the following ways: Writing and using function notation Determining the domain and range of different types of functions

Find the domain and range of each of the following functions. Express answers in interval notation. (Hint: When finding the range, first solve for x.) 43. (a) 3 2 fx x (b) 5 2 x gx x 44. (a) 4 x 3 (b) 52 3 x gx x

Domain is the set of possible values of the independent variable and range is the set of possible values of the dependent variable. What does “possible” mean? For domain, it means real numbers that yield real numbers as function output.

Pre-calculus notes on functions, domain, range, vertical line test, increasing/decreasing intervals, and even/odd functions.

Domain refers to the set of all possible input values (usually x-values) for a function, while range is the set of all possible output values (usually y-values).