Domain of x 2 1

Functions in mathematics can be compared to the operations of a vending soda machine. When you put in a certain amount of money, you can select different types of sodas.

If you're seeing this message, it means we're having trouble loading external resources on our website. To log in and use all the features of Khan Academy, please enable JavaScript in your browser. Search for courses, skills, and videos. Introduction to the domain and range of a function. About About this video Transcript. Functions assign outputs to inputs. The domain of a function is the set of all possible inputs for the function.

Domain of x 2 1

The domain of the function will be determined by the fact that the expression that's under the radical must be positive for real numbers. The range of the function will be determined by the fact that the square root of a real number must always be positive. Stefan V. Aug 26, Explanation: The domain of the function will be determined by the fact that the expression that's under the radical must be positive for real numbers. Related questions How do you determine if -1, 4 , 2, 8 , -1, 5 is a function? What is the domain and range for 3,1 , 1,-4 , and 2, 8? What is the domain and range of a linear function? Is domain the independent or dependent variable? How do you find the domain and range of a function in interval notation? How do you find domain and range of a rational function? How do you find domain and range of a quadratic function? How do you determine the domain and range of a function? What is Domain and Range of a Function? See all questions in Domain and Range of a Function.

Range of a square root is always the set of all non-negative numbers. Saudi Arabia.

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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. In other words, the domain is the set of values that we can plug into a function that will result in a real y-value; the range is the set of values that the function takes on as a result of plugging in an x value within the domain of the function. In mathematical terms, given a function f x , the values that f x can take on constitute the range of the function, while all the possible x values constitute the domain. There are no x-values that will result in the function being undefined and matter what real x-value we plug in, the result will always be a real y-value. Then, from looking at the graph or testing a few x-values, we can see that any x-value we plug in will result in a positive y-value. Notice in the examples above that we described the domain and range using words. While this is possible for all functions, different notations have been developed for expressing domains and ranges in a more concise way.

Domain of x 2 1

If you're seeing this message, it means we're having trouble loading external resources on our website. To log in and use all the features of Khan Academy, please enable JavaScript in your browser. Search for courses, skills, and videos. Determining the domain of a function. About About this video Transcript. Sal shows how to algebraically find the domain of a few different functions. Want to join the conversation? Log in. Sort by: Top Voted.

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Here are some examples:. The type of number we normally use, such as 1, The highest and lowest values of the graphs are helpful in writing the range of a graph. Now let's make this a little bit more concrete by do some more examples So more examples we do, hopefully the clearer this will become. It could be most of the real numbers except it cannot be 0 because we don't know -- this definition is undefined when you put the input as 0 So x is a member of the real numbers, and we write real numbers -- we write it with this kind of double stroke right over here. Search for courses, skills, and videos. In your example you give yis greater than or "equal" to six. Is domain the independent or dependent variable? So, for example, let's say that we have the function -- let's say we have the function f of x is equal to 2 over x. Sri Lanka. If our input was pi, then we input into our function and then f of pi -- when x is pi, we're going to output f of pi, which is equal to 2 over pi. Range of a square root is always the set of all non-negative numbers. The domain of a function is the set of all possible inputs for the function.

The domain of the function will be determined by the fact that the expression that's under the radical must be positive for real numbers. The range of the function will be determined by the fact that the square root of a real number must always be positive. Stefan V.

This concept makes sense to me when Sal does it with smaller numbers but I'm having trouble with a specific homework problem and I'm not sure how to use what Sal teaches in this video to go about solving it Our Journey. Comment Button navigates to signup page. Terms and Conditions. The domain and range of a function are the components of a function. Well, x can be a member So this little symbol means a member of the real numbers. Domain and range are the main aspects of functions. Here are the general formulas used to find the domain of different types of functions. Explanation: The domain of the function will be determined by the fact that the expression that's under the radical must be positive for real numbers. Let us learn to find the domain and range of a function, and also graph them. The range of the function is the set of images. Does this definition tell us what we need to output? Example 1.