Your main goal is to find the minimum and maximum values of y. You may find that y always remains positive, or it may be negative at some points. They may also have been called the input and output of the function. (In grammar school, you probably called the domain the replacement set and the range the solution set. In order to do this, try substituting in different x-values into the function to see what happens to y. The domain of a function f ( x) is the set of all values for which the function is defined, and the range of the function is the set of all values that f takes. Domain is the possible set of input values a function can take represented by x.
#Domain and range how to#
Now let's move on and learn how to find the range of a function. Let us first understand what domain and range are in a function. This often means that we cannot have a 0 as a denominator, nor can we have negative values in a square root. In order to figure out the domain of a function, you'll have to look at the values that's possible (or that we're allowed to use) for the independent variable. The range is all the possible resulting variables of the dependent variable (which is usually y in a function) after substituting in the domain, which we've learned is all the possible values of x. When you're looking at range, you're now looking at the values of y. Two things to note is that in the function you're looking at, the denominator of a fraction can never be 0 and that if your function has a square root, it must be positive (for now). The domain tells us all the possible values of x (the independent variable) that will output real y-values. The domain has to do with the values of x in your function. In algebra, when we deal with points on a graph, you may be asked to find its domain and range.
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