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yan [13]
3 years ago
11

(Q9) Decide if the function is an exponential growth function or exponential decay function, and describe its end behavior using

limits. y=0.8^x

Mathematics
1 answer:
Artemon [7]3 years ago
6 0

Answer:

C

Step-by-step explanation:

A function in the form  y=a*b^x is an exponential function. If

  • a > 0, and b > 1 -- this is exponential growth function
  • a > 0, and 0 < b < 1 -- this is exponential decay function

The given function can be written as  y=1*0.8^x, so a > 0 and 0 < b < 1, hence this is exponential decay function.

For end behavior, we take limits from -∞ and from ∞. If we do that we can see that C is the correct answer. Also, looking at the graph explains it. Attached is the graph.

<em>From the graph, as we move towards negative infinity, the graph goes towards positive infinity and as we move towards positive infinity, the graph goes towards 0.</em>

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