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Help please, Im stuck on a problem

Help please, Im stuck on a problem-example-1
User Travis Hegner
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1 Answer

10 votes
10 votes

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 ∈ R

range: y

As x approaches -∞, y approaches +∞

As x approaches ∞, y approaches 0

Explanation:

Just to describe the function:


600(0.55)^(x)

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

range: y > 0

As x approaches -∞, y approaches +∞

As x approaches ∞, y approaches 0

Help please, Im stuck on a problem-example-1
User Kaulex
by
3.4k points