Algebra I: Finding the domain and range of an equation
 This is a free lesson from our course in Algebra I

 It explains how to determine the domain and range of a given equation by setting up the tabular values. In the tabular set up, you should plug in the values for x to get the resulting values of y, and then make a general statement about the domain from the x values and about the range from the y values. For example, to determine the range and domain of the function f(x) = -x4 + 4, we plug in some values for x and calculate y.You'll see that there is no restriction on x so the domain is all real numbers and there is a restriction on y such that the range is always going to be less than or equal to 4 (because -x4 is always going to be negative for any real number x), and hence the range is f(x) <= 4. (More text below video...)
Other useful lessons:
 Types of functions One to many relationship Finding the domain of function Finding the domain and range of the functions
(Continued from above) E.g. Determine the domain and range of the equation
y = (x + 2).
Solution: As (x + 2) can never be negative, so we can write
x + 2 >= 0
=> x >= -2
So, the domain of the equation i.e. value of x lies between
[-2, )
Now, to find the range, substitute the minimum value of domain into the equation.
y = (-2 + 2)= 0

So, the range of the equation is [0, )

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