Study guides

Q: How can you determine the domain and range of a rational number?

Write your answer...

Submit

Related questions

The domain is the set of the first number of each ordered pair and the range is the set of the second number.

11

You do not graph range and domain: you can determine the range and domain of a graph. The domain is the set of all the x-values and the range is is the set of all the y-values that are used in the graph.

i think that the range and the domain of a parabola is the coordinates of the vertex

The domain of a function determines what values of x you can plug into it whereas the range of a function determines the values that are your results. Therefore, look at the y-axis if you want to determine the range of a function and look at the x-axis if you want to determine the domain.

It could be anything you like - counting numbers, integer, rational numbers, real number, complex numbers or any subset of these. Each domain would give rise to a different range.

The domain of x^3 - 2x is whatever you choose it to be. That will then determine the range.

To an extent, the answer depends on what the range is. The domain can be the set of complex numbers, with the range also the complex numbers. The domain can be the whole of the real numbers if the range can be complex. If the range needs to be real, then the domain must be the real numbers excluding the interval (0,9). As the range is restricted (rational, integer), the domain will also shrink.

Domain and range are not sufficient to determine the y intercept. For example, the domain and range for the straight line y = 2x + 3 are the whole of the real numbers. That tells you nothing about the intercept.

y can be any real number more than or equal to zero --> Range x can be any real number--> Domain

You can define the domain as anything you like and that will determine the range. Or, you can define the range as anything you like and that will determine the domain. For example: domain = {1, 2, 3, 4, ... } then range = {-3, 0, 5, 12, ... } or range = {1, 2, 3, 4, ... } then domain = {sqrt(5), sqrt(6), sqrt(7), sqrt(8), ...}. There is, of course, no need to restrict either set to integers but then it was easier to work out one set from the other.

Yes. The domain and range can include irrational numbers.

Yes.

Yes a undefined slope is a vertical line so the domain would be a single number and the range would be all reals

In algebra, the domain consists of all possible values for the x variable that could make the function work. The range is all of the possible values of the function, using each number in the domain.

true

Other names for Y value

The domain and range are two different sets associated with a relationship or function. There is not a domain of a range.

Find the range of a function by substituting the highest domain possible and the lowest domain possible into the function. There, you will find the highest and lowest range. Then, you should check all the possible cases in the function where a number could be divided by 0 or a negative number could be square rooted. Remove these numbers from the range. A good way to check to see if you have the correct range is to graph the function (within the domain, of course).

Take the largest number minus the smallest number to determine the range.

No domain no range

Find the maximum and minimum values that the function can take over all the values in the domain for the input. The range is the maximum minus the minimum.

The range is the y value like the domain is the x value as in Domain and Range.

Some functions are only defined for certain values of the argument. For example, the the logarithm is defined for positive values. The inverse function is defined for all non-zero numbers. Sometimes the range determines the domain. If you are restricted to the real numbers, then the domain of the square root function must be the non-negative real numbers. In this way, there are definitional domains and ranges. You can then chose any subset of the definitional domain to be your domain, and the images of all the values in the domain will be the range.

The domain is, but the range need not be.