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

What is relations function?

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.


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 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.


What is the domain and range of trigonometry functions?

No domain no 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.


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.


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.


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

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


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.


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 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.