It is also written in the same way that the domain is written, meaning the primary difference is that it consists of the y values in place of the x values. Like with the domain, we can find the range of a table, an algebraic equation, and a graph. The range is the set of all y values of a function. The domain of the graph is therefore ( − ∞, ∞ ). So, the domain of the curve extends infinitely in the negative x direction and infinitely in the positive x direction. The arrows in this graph indicate that the curve continues on forever in the direction it is pointing. The ∪ between the two sets of parentheses means “and.” That’s to say that both sets make up the overall domain. Parentheses mean that the x value goes up to that number but does not equal the number, like a hollow circle on a graph. First, the square brackets are replaced with parentheses. You’ll notice a few differences from the method used with tables. So, we have to use the second method with a little modification: We cannot use the first method mentioned above because there are infinite numbers that x could be. In this case, we know that the denominator of a fraction cannot be 0, so x cannot be 0. The best question to ask yourself is if there are any values that x cannot equal in the function. Since we are not given a list of what numbers go into the function, we have to determine the values ourselves. It is important to note that we only use the second method with the square brackets when the domain consists of every whole number between the two numbers listed. The second method shows the first and last number of the list within square brackets. The first method clearly lists each value in order within curly braces.
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