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JulijaS [17]
3 years ago
10

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

rtFraction 2 x Over 1 minus x squared EndFraction
Mathematics
2 answers:
egoroff_w [7]3 years ago
8 0

Answer:

B. The graph approaches 0 as x approaches infinity.

Step-by-step explanation:

The function f(x) is:

f(x) = (2x)/(1-x^2)

When x approach infinity the term x² grows rapidly (more rapid than x), thus 1 - x², which is in the denominator will decrease, become a large negative more rapid than the x in the numerator. Thus you can expect that the function approaches zero.

77julia77 [94]3 years ago
4 0

Answer:

The left hand end behavior is decreasing and approaching 0, while the right hand end behavior is increasing and approaching 0.

Step-by-step explanation:

Assuming your fraction is \frac{2x}{1-x^{2} }, start by finding patterns. Since the denominator is 1-x^{2}, we can see that any number that is not between 0 and 1 results in a negative denominator. The numerator is 2x, so when x>1, the function is negative, and when x<1, the function is positive.

The denominator can never equal 0 - that results in 1/0, which is an UNDEFINED number.

SO, x can never be -1 or 1.

There is a vertical asymptote where the denominator is 0, so z = -1 and zxx = 1 are vertical asymptotes.

As the denominator becomes larger, the number approaches 0.

The left hand end behavior is decreasing and approaching 0, while the right hand end behavior is increasing and approaching 0.

An easier way to determine end behavior in a shorter time frame is to substitute in large numbers and estimate... like estimating in 300 or 900

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Last summer, Marrero was at Newgrange, a stone mound in Ireland that has a diameter of 250 feet. He found a walkway 62 feet long
timofeeve [1]

Answer:

  • 108 ft

Step-by-step explanation:

The line connecting the center with the end of the walkway is radius and is the hypotenuse of the right triangle.

Horizontal leg is the distance x.

<u>Vertical leg has the length:</u>

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<u>Using Pythagorean theorem to find the length of x:</u>

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7 0
2 years ago
Steve drove at a constant rate to the beach for a vacation. In the equation below, t is the time in hours it took Steve to drive
Sindrei [870]

9514 1404 393

Answer:

  A.  64 miles per hour

Step-by-step explanation:

In a linear equation, the "unit rate" is generally the coefficient of the variable. The units of the unit rate depend on the definition of the relationship.

Here, the time t is in hours, so the "unit rate" will be <something> per hour. The answer choices suggest that the <something> is "miles". That is, the units of the equation are ...

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With numbers/variables, that is ...

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The unit rate is 64 miles per hour.

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