Answer:
Domain : 0 ≤ x ≤ 8
Range : 5450 ≤ f(x) ≤ 6588.65
Step-by-step explanation:
Expression representing the money Samantha collected after x years is,
f(x) = [tex]5450(1.024)^{x}[/tex]
Time 'x' duration for the investment starts from t = 0 and ends at 8 years, so the domain of the given function will be,
Range : 0 ≤ x ≤ 8
Money collected in the fund from 0 to 8 years is,
f(0) = [tex]5450(1.024)^{0}[/tex]
= $5450
f(8) = [tex]5450(1.024)^{8}[/tex]
= $6588.6
Therefore, range of the graphed function will be,
Range : 5450 ≤ f(x) ≤ 6588.65
