The maximum domain that a duty is provided by every the values in which it is fine defined:
#"Domain" = x #
Since the sine role is identified everywhere top top the actual numbers, its collection is #RR#.
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As #f# is a routine function, its variety is a bounded interval given by the max and min values of the function. The maximum output of #sinx# is #1#, while its minimum is #-1#.
Hence:
#"Range" =
The range depends ~ above the authorize of #A#. However, if we enable that
#
then the selection is more simply identified as
As a conclusion,
#f:RR ->
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Sridhar V.
Jul 26, 2018
#" "#Domain:
#color(blue)((-oo
Interval Notation: #color(green)((-oo, oo)#
Range:
#color(blue)((-1
Interval Notation: #color(green)(<-1, 1>#
Explanation:
#" "#Domain and selection of a SIN Graph:
Let us look in ~ the SIN Graph first:
#color(blue)("Domain :"#
The domain of a function is the set of input values because that which the role is real and defined.
#color(blue)((-oo
Domain restriction provided for the SIN Graph to display screen ONE finish cycle.
#color(blue)("Range :"#
The set of output values (of the dependency variable) because that which the role is defined.
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As girlfriend can easily observe, the SIN graph go up till #color(blue)(1# and goes down until #color(blue)(-1#
#color(blue)((-1
Hope this helps.
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