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serg [7]
3 years ago
11

The function f(x)=5^(x-1) is shown on the coordinate plane. Select from the drop down menus to correctly describe the end behavi

or of f(x)

Mathematics
1 answer:
skelet666 [1.2K]3 years ago
8 0

Answer: The end behavior of the given function is,

f(x)\rightarrow 0 as x\rightarrow -\infty

And, f(x)\rightarrow \infty as x\rightarrow \infty

Step-by-step explanation:

Since, by the property of the graph of the exponential function,

If an exponential function is, f(x) = ab^x

If b >1 ( increasing function ) then its end behavior is,

f(x)\rightarrow 0 as x\rightarrow -\infty

And, f(x)\rightarrow \infty as x\rightarrow \infty

While b < 1 ( decreasing function, then its end behavior is,

f(x)\rightarrow \infty as x\rightarrow -\infty

And, f(x)\rightarrow 0 as x\rightarrow \infty

Here, given function is,  f(x)=5^{x-1}

Since 5 > 1

Therefore, the end behavior of the given function is,

f(x)\rightarrow 0 as x\rightarrow -\infty

And, f(x)\rightarrow \infty as x\rightarrow \infty

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