The range of this function is also the set of all real numbers. ![]() I can plug in any decimal number, so for this equation, I can also get out any number for y by searching for the right x. But I can also plug in 1.5 for x, which would give me 9, or 1.25 for x, which would give me 8. What about our range? Well, if I plug in 1 for x, I get 7 and if I plug in 2 for x, I get 11. ![]() Another way to say this is that the domain is the set of all real numbers. This means that the domain is: \(-\infty\leq x\leq\infty\). You could put 1, 2, -7, 84, or any other number in place of the x. The domain is any number we can put in place of the x. Let’s think about this algebraically for a minute. We are going to find the domain and range using just the equation, by looking at a graph, and by looking at a table. Let’s look at a simple linear function: \(y = 4x + 3\). The range is any number that you can get when you plug in any number for x. Typically, this will be represented by the letter y or \(f(x)\). The range of a function is the set of all of the possible outputs of a function. Almost every time, your domain will be all real numbers, except for a few special cases like square root functions and rational numbers. For most functions, this will be any number you can plug in for the letter x. This means it is any number you can plug into a function. The domain of a function is the set of all possible inputs of a function. Each element of the input produces a unique element of the output. Remember, a function is a relation between two sets of numbers, an input and an output. And how to find the domain and range of a function.Hello, and welcome to this video on domain and range! In this video, we will see:
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