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4,12,36,108,324

If the sequence defines a function, what is a reasonable domain and range of the function?

User Stephenhay
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1 Answer

4 votes

The sequence defines a function
f(x)=4.(3)^(x-1)

Domain :
\{1,2,3,4,5\}

Range :
\{4,12,36,108,324\}

Step-by-step explanation:

A sequence defines a function if it is the set of natural numbers.

Thus, the function is given by


f(x)=4.(3)^(x-1)

The sequence can be determined by substituting the values for x.

For
x=1,


f(1)=4(3)^(0)=4

For
x=2,


f(2)=4(3)^(1)=4(3)=12

For
x=3,


f(3)=4(3)^(2)=4(9)=36

For
x=4,


f(4)=4(3)^(3)=4(27)=108

For
x=5,


f(5)=4(3)^(4)=4(81)=324

Thus, from these the domain and range of a function can be determined.

The domain of a function is the set of independent values, which are generally the x-coordinates.

Domain of a function is
\{1,2,3,4,5\}

The range of a function is the set of dependent values obtained by substituting the values for x.

Range of a function is
\{4,12,36,108,324\}

User Ali Mohammad
by
8.0k points

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