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il63 [147K]
3 years ago
13

Determine the function which corresponds to the given graph. (3 points) a natural logarithmic function crossing the x axis at ne

gative two and y axis at one.
The asymptote is x = -3.

Mathematics
1 answer:
quester [9]3 years ago
4 0

Answer:

y =log_e(x+3)

Step-by-step explanation:

It is given that the graph corresponds to a natural logarithmic function.

That means, the function y has a natural log (Log with base e) of some terms of x.

It is given that asymptote of given curve is at x= -3. i.e. when we put value

x= -3, the function will have a value y \rightarrow \infty.

We know that natural log of 0 is not defined.

So, we can say the following:

log_e(x+a) is not defined at x= -3

\Rightarrow x+a =0\\\Rightarrow x = -a

i.e. x =-a is the point where y \rightarrow \infty

a = 3

Hence, the function becomes:

y =log_e(x+3)

Also, given that the graph crosses x axis at x = -2

When we put x = -2 in the function:

y =log_e(-2+3)  = log_e(1) = 0

And y axis at 1.

Put x = 0, we should get y = 1

y =log_e(0+3)  = log_e(3) \approx 1

So, the function is: y =log_e(x+3)

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Answer:

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Step-by-step explanation:

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4 0
3 years ago
Please help
Ymorist [56]

Part C:

y = total cost

M = minutes


You can talk on the phone only 100 minutes per month

Company A:

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y = 0.04(100) + 5

y = 4 + 5

y = 9             $9 per month


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y = 0.10M + 2

y = 0.10(100) + 2

y = 10 + 2

y = 12          $12 per month


Company A offers the best deal because at Company A you have to pay $9 for 100 minutes per month, and at Company B you have to pay $12 for 100 minutes per month, so you have to pay $3 less.


Part D:

1.) With a budget of $30, Company A would allow me to talk longer on the phone. I know this because for Company A, you pay $3 less per month for the same amount of minutes as Company B. This means that I will save more money with Company A, and I can buy more minutes. (something like this)


6 0
3 years ago
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PolarNik [594]

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3 years ago
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Naily [24]

Answer:

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2 years ago
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QveST [7]

Answer:

<em>The age of the oldest child id 7.</em>

Step-by-step explanation:

There are 5 children:

1st Child: 7 Years Old

2nd Child: 6 Years Old

3rd Child: 5 Years Old

4th Child: 4 Years Old

5th Child: 3 Years Old

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Hope this helped! :-)

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