What is the domain and range of a sine graph?
#A = "Amplitude"# #2pi//B = "Period"# #-C//B = "Phase shift"# #D = "Vertical shift"#
The maximum domain of a function is given by all the values in which it is well defined:
Since the sine function is defined everywhere on the real numbers, its set is
The range depends on the sign of
then the range is more simply defined as [D-A, A+D].
As a conclusion,
Domain and Range of a SIN Graph:
Let us look at the SIN Graph first:
The domain of a function is the set of input values for which the function is real and defined.
Domain restriction used for the SIN Graph to display ONE complete cycle.
The set of output values (of the dependent variable) for which the function is defined.
As you can easily observe, the SIN graph goes up until
Hope this helps.