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Viktor [21]
3 years ago
9

What is the end behavior? 10 points!!

Mathematics
1 answer:
Colt1911 [192]3 years ago
4 0

Given:

The given function is:

f_1(x)=-3\cdot 2^{x-5}-4

The graph of the function is given.

To find:

The end behavior of the given function.

Solution:

We have,

f_1(x)=-3\cdot 2^{x-5}-4

From the given graph it is clear that the function approaches to -4 at x approaches negative infinite and the function approaches to negative infinite at x approaches infinite.

f_1(x)\to -4 as x\to -\infty

f_1(x)\to -\infty as x\to \infty

Therefore, the end behaviors of the given function are:

f_1(x)\to -4 as x\to -\infty

f_1(x)\to -\infty as x\to \infty

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Answer:

(a) y = 350,000 \times (1 + 0.07132)^t

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(b) (i) The population after 8 hours is given as follows;

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(ii) The population after 24 hours is given as follows;

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The population after 24 hours, y = 1,828,643

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2·y/y =2 = (1 + 0.07132)^t

t = ln2/(ln(1 + 0.07132)) ≈ 10.06

The doubling time of the population is approximately, 10.06 hours.

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