The possible inputs of the function is given by the domain of the function
The function that defines the sequence with domain n = {1, 2, 3, 4, 5} is option A. f(n) = -2·n + 10
The given sequence is 8, 6, 4, 2, 0
The required domain of the function is n = {1, 2, 3, 4, 5}
Required:
The function having the given domain that defines the sequence
Solution:
The range of the sequence is f(n) = {8, 6, 4, 2, 0}
Therefore;
f(1) = 8, f(2) = 6, ...f(5) = 0
The first difference of the domain and the range are constant therefore the relationship is linear
The rate of change (slope) of the domain and range is given as follows;
[tex]Rate \ of \ change = \dfrac{8 - 6}{1-2 } = -2[/tex]
The function relating the range, f(n), to the domain, n, in point and slope form is therefore;
f(n) - 8 = -2· (n - 1)
f(n) = -2·n + 2 + 8
The function in slope and intercept form is; f(n) = -2·n + 10
Therefore;
The function relating the range, f(n), to the domain, n is f(n) = -2·n + 10
The correct option is option A
Learn more here:
https://brainly.com/question/24592110
