Task:
Enter the function's domain, range, and end behavior.
f(x) = 600(0.55)^x
P.S. So it can be found on the internet.
Answer:
domain: {x | x ∈ R}
range: {y | y > 0}
As x approaches -∞, y approaches +∞
As x approaches ∞, y approaches 0
Step-by-step explanation:
Just to describe the function:
[tex]600(0.55)^{x}[/tex]
600 is basically the y-intercept, 0.55 indicates that the function is decreasing
You have a horizontal asymptote on the y = 0 and the domain is (-∞, ∞)
the range is (0, ∞) because you have the horizontal asymptote at 0
About "x such that" notation, I am not sure but here it is:
domain: {x | x ∈ R}
range: {y | y > 0}
As x approaches -∞, y approaches +∞
As x approaches ∞, y approaches 0
