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Ivan
3 years ago
14

What is the end behavior of the graph?

Mathematics
1 answer:
hichkok12 [17]3 years ago
8 0
Imagine that this curve is a roller coaster. A dot on the roller coaster would be a car for a person to sit in, so to speak. As this car moves to the right, the car ultimately moves downward. So this means that as x gets larger, y gets smaller. Put another way: as x approaches infinity, f(x) approaches negative infinity.

Similarly, we can move the other way to work our way to the left. Moving to the left has us go up this time. As x approaches negative infinity, f(x) approaches positive infinity

These two facts point to choice B as the final answer
You might be interested in
The population of a certain species of fish has a relative growth rate of 1.1% per year. It is estimated that the population in
Juliette [100K]

Answer:

(a) n(t) = P(0)*e^(0.010939940t)

(b) 12,674,681 (nearest unit)

(c) 14 years (nearest year)

Step-by-step explanation:

rate = 1.1% / year = 1.011

(a)

P(0) = 12,000,000  = population in 2010

In compound interest format, after t years

P(t) = P(0)* (1.011)^t

Given format = P(0)* e^(rt)

therefore

e^(rt) = 1.011^t       use law of exponents

(e^r)^t = 1.011^t

e^r = 1.011

r = log_e(1.011) = 0.010939940   (to 9 decimal places)

required formula is

n(t) = P(0)*e^(0.010939940t)

(b)

in 2015,

P(0)=12000000, n = 5 (years after 2010)

n(5) = 12000000*e^( 0.010939940 * 5 ) = 12,674,680.6 = 12,674,681 (nearest unit)

(c)

to reach 14 million, we equate

n(t) = 14,000,000

12,000,000 *e^(0.010939940*t) = 14,000,000

e^(0.010939940*t) = 14000000/12000000 = 7/6

take log on both sides

0.010939940*t = log(7/6)

t = log(7/6) / 0.010939940 = 14.091 years = 14 years to the nearest year.

See graph attached.  Y-axis is in millions, x-axis is in years.

4 0
3 years ago
Which rational number equals 0.1?<br> 1/11<br> 1/10<br> 1/9<br> 1/8<br> HELPPPPPP PLZZZZZ
scoray [572]
1/10
All you have to do is divide the numerator by the denominator
In this case 1 divided by 10 = 0.1
Hope this helps
5 0
3 years ago
1 point
Elan Coil [88]

Your current balance if you started the day with $100 in your account is $73

First step is to calculate the total cash at bank

Using this formula

Total Cash at bank= Cash at bank + Deposit

Let plug in the formula

Total Cash at bank=$100+90

Total Cash at bank=$190

Second step is to calculate the amount debited

Debit amount=($60+$3)+($34+$20)

Debit amount=$63+$54

Debit amount=$117

Now let determine your current balance

Current balance=Total cash at bank-Amount debited

Let plug in the formula

Current balance=$190-117

Current balance=$73

Your current balance if you started the day with $100 in your account is $73

Learn more here:

brainly.com/question/22165984

7 0
2 years ago
A gallon or unleaded gasoline weights about 6 pounds about how many ounces does 1 quart of unleaded gasoline weight hint= 1/4 ga
alexira [117]

i think the answer is 1/4 because it good

3 0
3 years ago
Read 2 more answers
Given f(x) = –5x + 1, what is f(–2)?
Gnesinka [82]
-5(-2)+1 10+1=11 Your answer is C
4 0
3 years ago
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