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#.

You are watching: The domain of the sine function is

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 ->

Answer link

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.

See more: What Time Are Movies Due Back At Redbox Is Due, How To Find Out When A Redbox Is Due

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.

Answer attach

Related inquiries

check out all concerns in Domain and variety of a role

impact of this concern

16737 views roughly the human being

You can reuse this prize an imaginative Commons license