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.
The domain and range of the composite function depend on both of the functions that make it up.
Domain and range are used when you deal with functions - so basically you use them whenever you deal with 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.
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.
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.
Yes, for some functions A, and not for others.
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).
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.
A function is a mapping between two sets, the domain and the range, such that each element in the domain is mapped to only one element in the range. This is true for all lines in a plane except those that are parallel to the y-axis. Thus, all non-perpendicular lines are functions but vertical lines are not functions.
This is a function. Functions are used in trigonometry and algebra equations. They are also used in calculus to find out a series of numbers.
There are two types of functions in trigonometry: there are functions that are mappings from angles to real numbers, and there are functions that are mappings from real numbers to angles. In some cases, the domains or ranges of the functions need to be restricted.
The six basic functions of trigonometry are the sine, cosine, tangent, cosecant, secant, and cotangent functions. Abbreviated sin, cos, tan, csc, sec, cot.
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.
No. The domain is usually the set of Real numbers whereas the range is a subset comprising Real numbers which are either all greater than or equal to a minimum value (or LE a maximum value).
Not specifically trigonometry, but functions in general. As a general rule, functions must be evaluated before using the results in other parts of the calcuation.
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.
No. If the range of the first function is not the domain of the second function then the composite function is not defined.