The maximum domain the a function is provided by all the worths in which the is fine defined:

#"Domain" = x in RR and also f(x) " is defined"#

Since the sine role is characterized everywhere top top the real numbers, its set is #RR#.

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As #f# is a regular function, its variety is a bounded interval given by the max and min worths of the function. The maximum output of #sinx# is #1#, while its minimum is #-1#.

Hence:

#"Range" =

The selection depends on the authorize of #A#. However, if we allow that

# = **#**

then the range is much more simply identified as .

As a conclusion,

#f:RR ->

Answer attach

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 range of a SIN Graph**:

Let united state look in ~ the SIN Graph first:

#color(blue)("Domain :"#

The **domain** of a duty is the **set of entry values** for which the duty is **real and also defined**.

#color(blue)((-oo

**Domain restriction** provided for the SIN Graph to display screen ONE complete cycle.

#color(blue)("Range :"#

The collection of output worths (of the dependency variable) for which the role is defined.

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As you can conveniently observe, the SIN graph go up until #color(blue)(1# and also goes down until #color(blue)(-1#

#color(blue)((-1

Hope this helps.

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