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? f ( x ) = 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? f ( x ) = 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?
f
(
x
)
=
3
x
Expert Solution & Answer
To determine
To evaluate: The given function f(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 17P
As the values of domain of function f(x)=3x increase the values of range increase.
Explanation of Solution
Given information:
The given function is f(x)=3x 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 f(x)=3x or the range of function f(x) for x∈{−2,−1,0,1,2,3} are given in table -1.
x
Range of f ( x )
-2
0.111
-1
0.333
0
1.000
1
3.000
2
9.000
3
27.000
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 f(x)=3x increase the values of range increase.
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.