Finding the domain and range of an equation

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...)

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(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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