What is the asymptote for the function g (x) = 400 (.75) ^x

Question

Ariella Novak

Mathematics

16 October, 16:16

What is the asymptote for the function g (x) = 400 (.75) ^x

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Answers (1)

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Zaiden Hudson · Answer 1

y = 0

Step-by-step explanation:

This function is a "decaying exponential," which is evident because the common ratio, 0.75, is between 0 and 1.

As x increases, the graph approaches y = 0 from above, but never touches y = 0 (the x-axis). Thus, y = 0 is the horizontal asymptote. No vertical asymptote here.