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This preview shows page 1 out of 1 page. End of preview. Want to read the entire page? Upload your study docs or become a Course Hero member to access this document Download Article Download Article The domain of a function is the set of numbers that can go into a given function. In other words, it is the set of x-values that you can put into any given equation. The set of possible y-values is called the range. If you want to know how to find the domain of a function in a variety of situations, just follow these steps. Things You Should Know
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Thanks for submitting a tip for review! ReferencesAbout This ArticleArticle SummaryX In mathematics, the domain of a function refers to the set of all possible numbers that you can use as inputs, or x-values, in the function. For example, if your function is f(x) = 2x+3, then the domain is any number that you can use in place of x. In this example, and with many other functions, the domain includes all real numbers. However, there are special cases where the domain will be more limited. For instance, if the function includes a fraction with a variable in the denominator, you’ll need to exclude any numbers from your domain that would result in the denominator of the fraction being equal to 0. To figure this out, set the denominator as an equation equal to 0 and solve for x. Let’s say you have a function f(x) = 2x/x^2-4. Start by writing out x^2-4 = 0. Factor the expression to get (x – 2) (x + 2) = 0. When you solve for 0, you’ll get two possible inputs: 2 and -2. This means you must exclude 2 and -2 from the domain. Define the domain as “x = all real numbers except for 2 and -2.” You could also write it as D = (-∞, -2) U (2, ∞). Functions that include natural logs and square roots also require special care when defining the domain. For instance, if the variable is under a square root, you must exclude any values that would result in a negative number under the root sign. The same goes for functions with a natural log. For example, if your function is either f(x) = ln(x – 8) or f(x) = √(x – 8), you’d define the domain as any real number greater than or equal to 8. Another way to write this out is D = [8, ∞). In many cases you can also define the domain of a function by looking at a graph. Look at which values are represented or excluded on the x-axis to help you find the domain. For example, if you’re looking at a graph of a line or a parabola, the domain would be all real numbers, since the graph continues infinitely in both directions. On the other hand, a function with a vertical asymptote at x = 3 would have a domain of all real numbers except for 3. If you want to learn how to find the domain of a function on a coordinate plane, keep reading the article! Did this summary help you? Thanks to all authors for creating a page that has been read 2,091,592 times. Did this article help you?Which statement is true about mc013 1 JPG?Which statement is true about mc013-1. jpg? Answer D ; The graph of f(x) has range of f(x) + 2 = 1/6{x-3} -2.
What are the restrictions on the domain of es001 2 JPG?do you notice about the domain of es002-2. jpg ? The domain of f, and thus the range of g, is restricted to values greater than or equal to 3. If 1 minus x squared is greater than or equal to 3, then x squared must be less than -2.
What are the domain and range of this function?The domain of a function is the set of values that we are allowed to plug into our function. This set is the x values in a function such as f(x). The range of a function is the set of values that the function assumes. This set is the values that the function shoots out after we plug an x value in.
What values are excluded from the domain and range of the function?To find these x values to be excluded from the domain of a rational function, equate the denominator to zero and solve for x . For example, the domain of the parent function f(x)=1x is the set of all real numbers except x=0 . Or the domain of the function f(x)=1x−4 is the set of all real numbers except x=4 .
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