Final answer:
Elijah's ticket sales can be described by the function f(x) = 40 + 5x, with the domain {0, 1, 2, 3, 4, 5} and the range {40, 45, 50, 55, 60, 65}.
Step-by-step explanation:
To write a function using function notation to describe Elijah's ticket sales situation, we can define the function f(x) where x represents the number of tickets left that Elijah sells.
Since he starts with $40 and sells each remaining ticket for $5, the total amount of money made after selling x tickets would be $40 plus $5 times x.
Therefore, the function f(x) can be written as: f(x) = 40 + 5x
The domain, which is the set of possible values for x, would be the number of tickets left to sell.
Since he has 5 tickets left, x can be any number from 0 to 5 (including 0 when no more tickets are left and 5 when all the remaining tickets are sold).
So, the domain is {0, 1, 2, 3, 4, 5}.
The range is the set of possible values that f(x) can take. Since the least amount he can make is $40 (when x = 0) and the most is $65 (when x = 5).
So, the range is {40, 45, 50, 55, 60, 65}.