Domain of the function f(x)=3x^3 is 2,5 what is the function range?
Answer:
The range of given function is {24, 375}
Solution:
Domain of the function is possible input of the function that is "x" and range of the function is possible output of the function that is f(x)
So we can substitute the given domain values of "x" in f(x) and find the range of function
As per the given question:
The domain of the function [tex]f(x) = 3x^3[/tex] is, [2, 5]
We have to find the range of the function
Substitute x = 2 in f(x)
[tex]f(x) = 3x^3[/tex]
[tex]f(2) = 3 (2)^3 = 3(8) = 24[/tex]
Substitute x = 5 in f(x)
[tex]f(5) = 3(5)^3 = 3 \times 125 = 375[/tex]
Therefore range of given function is {24, 375}