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...)
(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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(x + 2).
)