what is the domain and range of a function 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
The domain of a function is the set of all possible inputs for the function For example the domain of f x x is all real numbers and the domain of g x 1 x is all real numbers except for x 0 We can also define special functions whose domains are more limited In its simplest form the domain is all the values that go into a function and the range is all the values that come out But in fact they are very important in defining a function Read on
what is the domain and range of a function
what is the domain and range of a function
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What is the Domain and Range of a Function The domain and range of a function are the set of all the inputs and outputs a function can give respectively i e for any function y f x the domain is the set of all x values for which f x is defined the range is the set of all y values that the function f x produce The domain of a function is the complete set of possible values of the independent variable In plain English this definition means The domain is the set of all possible x values which will make the function work and will output real y values
The domain and range of a function is all the possible values of the independent variable x for which y is defined The range of a function is all the possible values of the dependent variable y The domain of a function is the set of all possible input values that produce some output value range Learning Objectives Define the domain and range of a function Key Takeaways Key Points Given a function f f the set x x values inputs is the domain of f f and the set y y values outputs is the range of f f
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All the values that go into a function The output values are called the range Domain Function Range Example when the function f x x 2 is given the values x 1 2 3 then those values are the domain Functions are a correspondence between two sets called the domain and the range When defining a function you usually state what kind of numbers the domain x and range f x values can be
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