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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.

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โˆ™ 2013-06-03 09:32:48
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Algebra

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A polynomial of degree zero is a constant term

The grouping method of factoring can still be used when only some of the terms share a common factor A True B False

The sum or difference of p and q is the of the x-term in the trinomial

A number a power of a variable or a product of the two is a monomial while a polynomial is the of monomials

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Q: How do you determine the domain and range of relations and functions?
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Related questions

What is the functions and what is relation in trigonometry?

The same as in any other math class. All functions are relations but all relations are not functions. A function must have only one 'answer' in the range for each value of the domain. Relations are just pairing of numbers with no such restriction on the range.


What is the domain and range of trigonometry functions?

No domain no range


What is function and relation?

All functions are relations with the condition that each element of the domain is paired with only one element of the range. A relation is any pairing of numbers from the domain to the range.


True or false. When you compose two functions. The domain and the range of the original functions does influence the domain and the range of their composition?

true


When you compose two functions the domain and range of the original functions does influence the domain and range of their composition. True or False?

True.


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

A number does not have a range and domain, a function does.


When you compose two functions the domain and the range of the original function does influence the domain and the range of their composition?

The domain and range of the composite function depend on both of the functions that make it up.


When you compose two functions you must know the domain and range of the original functions to find the domain and range of their composition true or false?

true


How are domain and range used in the real world?

Domain and range are used when you deal with functions - so basically you use them whenever you deal with functions.


How do you graph range and domain?

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.


When you compose two functions the domain and range of the original fuctions does influence the domain anda range of their composition?

true


Is knowing the coordinates of the vertex of a parabola enough to determine the domain and range?

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


How do you identify the range of a function in math?

It can be quite hard. First determine the domain. Then, for every input value from the domain, calculate the output value. The set of all these output values is the range. For simple functions you will not need to find every output value. For monotonic continuous functions the end points of the domain will determine the endpoints of the range. [Monotonic means never decreasing or never increasing]. For non-monotonic functions, for example a quadratic or polynomial of higher order, you may need to find the turning points.


State the domain and range for the following functions?

The domain is the set of all input values, the range is the set of all output values. It is not possible to be more specific when you have not included any details of the functions.


Domain and range of a function?

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.


What is the relationships between inverse functions?

The inverse of the inverse is the original function, so that the product of the two functions is equivalent to the identity function on the appropriate domain. The domain of a function is the range of the inverse function. The range of a function is the domain of the inverse function.


What is the domain of F(x)x3-2x?

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


How do you find y-intercept with domain and range?

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.


How would you determine the domain and range from a list of ordered pairs?

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


The number 4 is in both the domain and the range of the function A?

Yes, for some functions A, and not for others.


Class 11th Relations and functions ncert miscellaneous exercise answers?

let f ={(x,xsquare/1+xsquare)} be a function from R in to R. Determine the range f.


What is the domain and range for y equals x squared minus 4?

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.


How do you tell if its relation between range and domain?

Domain is what you can plug into the function (possible x values for y=f(x) type functions) and range is the possible values you can get out (possible y values).


What is the domain of the range?

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


If you want to compose two functions you need the of the first function to have points in common with the domain of the second function?

range

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