Algebra I: Finding the domain and range of the functions
 This is a free lesson from our course in Algebra I In this lesson you'll learn how to find the range and domain of a function from its equation. The range of f is the set of all values that the function takes when x takes values from the domain. Let's take an example to understand this better. Let's say we have a funtion y = f(x) = x2 + 3. As long as x is a real number, y is always going to be a real number as well, hence the domain of this function is x = R. Also, for all values of x, x2 is going to be 0 or higher, hence the range of this function, i.e. the value of f(x) >= 3. The domain of a function is the complete set of possible values of the independent variable in the function i.e. the domain of a function is the set of all possible x values which will make the function "work" and will output real y-values.(More text below video...)
Other useful lessons:
 Types of functions One to many relationship Finding the domain of function Identify if the graph is a function or not Finding the domain and range of an equation Determine domain and range from a finite set of ordered pairs
(Continued from above) When finding the domain, remember:
� the denominator (bottom) of a fraction cannot be zero
� the values under a square root sign must be positive
The range of a function is the complete set of all possible resulting values of the dependent variable of a function, after we have substituted the values in the domain i.e. The range of a function is the possible values of a function that result when we substitute all the possible y-values into the function.
When finding the range, remember:
� substitute different x-values into the expression for y to see what is happening
� make sure you look for minimum and maximum values of y
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