Evaluate each function over the domain { − 2 , − 1 , 0 , 1 , 2 , 3 } . As the values of the domain increase, do the values of the range increase or decrease? m ( x ) = 0.3 x
Evaluate each function over the domain { − 2 , − 1 , 0 , 1 , 2 , 3 } . As the values of the domain increase, do the values of the range increase or decrease? m ( x ) = 0.3 x
Evaluate each function over the domain
{
−
2
,
−
1
,
0
,
1
,
2
,
3
}
.
As the values of the domain increase, do the values of the range increase or decrease?
m
(
x
)
=
0.3
x
Expert Solution & Answer
To determine
To evaluate: The given function m(x) over the certain domain D={−2,−1,0,1,2,3} and determine as the values of domain increase, do the values of range increase or decrease.
Answer to Problem 19P
As the values of domain of function m(x)=(0⋅3)x increase the values of range decrease.
Explanation of Solution
Given information:
The given function is m(x)=(0⋅3)x and given domain {−2,−1,0,1,2,3} .
Method used:
The range of function is determine using graphing utility.
Calculations:
The values of function m(x)=(0⋅3)x or the range of function m(x) for x∈{−2,−1,0,1,2,3} are given in following table.
x
Range of y ( x )
-2
11.111
-1
3.333
0
1.000
1
0.300
2
0.090
3
0.027
From the table it is clear that as the values of domain increase the values of range decrease.
Conclusion:
As the values of domain of function m(x)=(0⋅3)x increase the values of range decrease.
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