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sladkih [1.3K]
3 years ago
10

Which statement describes the behavior of the function f (x) = StartFraction 2 x Over 1 minus x squared EndFraction?

Mathematics
2 answers:
Ghella [55]3 years ago
6 0

Answer:

It's B on edge

Step-by-step explanation:

Anastaziya [24]3 years ago
3 0

Answer:

Option B.

Step-by-step explanation:

The given function is

f(x)=\dfrac{2x}{1-x^2}

We have find the behavior of the function f (x) as  x approaches infinity.

The given function can be rewritten as

f(x)=\dfrac{2x}{x^2(\dfrac{1}{x^2}-1)}

f(x)=\dfrac{2}{x(\dfrac{1}{x^2}-1)}

lim_{x\rightarrow \infty}f(x)=lim_{x\rightarrow \infty}\dfrac{2}{x(\dfrac{1}{x^2}-1)}

Apply limit.

lim_{x\rightarrow \infty}f(x)=\dfrac{2}{\infty(\dfrac{1}{\infty^2}-1)}

lim_{x\rightarrow \infty}f(x)=0

The graph approaches 0 as x approaches infinity.

Therefore, he correct option is B.

You might be interested in
If measure FG = 120° and measure EH = 94, what is measure angle EPH?
tankabanditka [31]

Answer:

∠EPH = 107°

Step-by-step explanation:

∠EPH is an angle formed by two intersecting chords.

arc FG and arc EH are the arcs ∠EPH intercepts.

The relationship between an angle formed by intersecting chords and their intercepted arcs is that the angle is equal to half the sum of its intercepted arcs.

Which means that ∠EPH = 1/2 ( arc FG + arc EH )

If arc FG = 120° and arc EH = 94°

Then ∠EPH = 1/2 ( 120 + 94 )

120 + 94 = 214

214 / 2 = 107

Hence, ∠EPH = 107°

5 0
3 years ago
Read 2 more answers
PLEASE ANSWER AS SOON AS POSSIBLE!
Tcecarenko [31]
The y- intercept has to be a point in the line where x is 0. Which means that in this case it would be -4.
To find the slope, use the formula: rise over run —> y2 - y1/x2 - x1
Choose any two coordinates and plug them in. Then simplify. Let me know if you have any questions by commenting:)
Hope I helped:)
6 0
3 years ago
5 units from ( negative 1, negative 2) what is the coordinate ( , negative 2) explain why
lions [1.4K]
The two negetive points of the block add thise to you answer
7 0
3 years ago
Question 13
ArbitrLikvidat [17]

Answer:

C

Step-by-step explanation:

Here in this question , we are interested in calculating the total distance covered by the train in the 10 minutes that it ran.

From the first part of the question, we already know the distances in the first 5 minutes.

Now, to calculate the total distance in the second 5 minutes, we use the distance formula since we have the average speed and the time;

Mathematically; Total distance = average speed * time

From the question, average speed is 33km/h, while time is 5 minutes. To achieve a consistent unit, we convert 5 minutes to hours.

That would be 5/60 = 1/12 hours

So the total distance in the second 5 minutes is;

33 * 1/12 = 2.75 km

Now, to calculate the total distance traveled, let’s add up the distances in the first 5 minutes and convert to kilometers;

That would be;

68 + 127 + 208 + 312 + 535 = 1,250 m

Let’s convert this to km.

We simply divide by 1000 = 1250/1000 = 1.25 km

The total distance is thus ;

1.25 + 2.75 = 4 km

4 0
3 years ago
$42 is 35% of what amount of money
sweet [91]

Answer: 14 dollars and 70 cents

Step-by-step explanation:

3 0
3 years ago
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