The domain of f(x)=3sin(2x) is all real numbers
----Any number can be input into this function and receive a valid output
The range of f(x)=3sin(2x) is [-3,3]
----The range of y=sin(x) is [-1,1] frequency modulation, which happens when the argument of a sine function is modified, does not affect the range of a cosine or sine function, so the range of y=sin(2x) is also [-1,1]. Amplitude modulation, which happens when the entire function is multiplied by a numerical constant, does affect the range. If any number put into y=sin(2x) will output a maximum of 1, the most an input can cause in y=3sin(2x) will be 3 times the maximum of y=sin(2x), and the same for the minimums, so the range of y=3sin(2x) is from -3 to 3.
If you would like a more complete explanation of the concepts underlying domain and range of functions, message me and I can more completely explain them.
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.
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).
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The range of a function is the set of all possible input values.
The answer depends on the domain. If the domain is the whole of the real numbers, the range in y ≥ 1. However, you can choose to have the domain as [1, 2] in which case the range will be [2, 5]. If you choose another domain you will get another range.
Any function is a mapping from a domain to a codomain or range. Each element of the domain is mapped on to a unique element in the range by the function.
The domain and range are two different sets associated with a relationship or function. There is not a domain of a range.
The domain of a function is the set of values for which the function is defined.The range is the set of possible results which you can get for the function.
The domain of the function 1/2x is {0, 2, 4}. What is the range of the function?
The domain is a subset of the values for which the function is defined. The range is the set of values that the function takes as the argument of the function takes all the values in the domain.
A number does not have a range and domain, a function does.
Domain is a set in which the given function is valid and range is the set of all the values the function takes
The domain and range of the composite function depend on both of the functions that make it up.
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.
There are two sets for any given function, the domain and the range. The range is the set of outputs and the set of inputs is the domain.
The function is a simple linear function and so its nature does not limit the domain or range in any way. So the domain and range can be the whole of the real numbers. If the domain is a proper subset of that then the range must be defined accordingly. Similarly, if the range is known then the appropriate domain needs to be defined.
Yes, the domain must correspond to only one member of the range in order to be a function in a member of the domain goes to more than one member of the range it then is a relation and not a function A function is a relation but a relation isnt always a function