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? y = 4.2 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? y = 4.2 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?
y
=
4.2
x
Expert Solution & Answer
To determine
To evaluate: The given function y(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 18P
As the values of domain of function y=4⋅2x increase the values of range increase.
Explanation of Solution
Given information:
The given function is y=4⋅2x 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 y(x)=4⋅2x or the range of function y(x) for x∈{−2,−1,0,1,2,3} are given in following table.
x
Range of y ( x )
-2
1.00
-1
2.00
0
4.00
1
8.00
2
16.00
3
32.00
From the table it is clear that as the values of domain increase the values of range increase.
Conclusion:
As the values of domain of function y(x)=4⋅2x increase the values of range increase.
Intermediate Algebra for College Students (7th Edition)
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