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tatyana61 [14]
3 years ago
15

Which function has no horizontal asymptote? F (x) = StartFraction 2 x minus 1 Over 3 x squared EndFraction f (x) = StartFraction

x minus 1 Over 3 x EndFraction f (x) = StartFraction 2 x squared Over 3 x minus 1 EndFraction f (x) = StartFraction 3 x squared Over x squared minus 1 EndFraction
Mathematics
2 answers:
Oduvanchick [21]3 years ago
8 0

Answer:

f(x)=\frac{2x^2}{3x-1}

Step-by-step explanation:

The function   has a horizontal asymptote which is

The function   has a horizontal asymptote which is

The function   has no horizontal asymptote  because the numerator has a degree which is higher than the degree of the denominator,

yanalaym [24]3 years ago
3 0

Answer:

f(x)=\frac{2x^2}{3x-1}

Step-by-step explanation:

The function  f(x)=\frac{2x-1}{3x} has a horizontal asymptote which is y=\frac{2}{3}

The function  f(x)=\frac{x-1}{3x} has a horizontal asymptote which is y=\frac{1}{3}

The function  f(x)=\frac{2x^2}{3x-1} has no horizontal asymptote  because the numerator has a degree which is higher than the degree of the denominator,

The function  f(x)=\frac{3x^2}{x^2-1} has a horizontal asymptote which is y=3

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Alona [7]

Answer:

x = -1, x = 1

Step-by-step explanation:

Factor the equation. (It's a difference of squares, so we know the form will be (a-b)(a+b).)

y = x^{2} - 1\\y = (x-1)(x+1)

Test this by FOILing it out, if you're unsure. This is something it can be good to memorize!

Set it equal to 0.

0 = (x+1)(x-1)

Separate the two parenthetical expressions by the Zero Product Property.

0 = x+1\\0 = x-1

Solve for x!

x=-1, x=1

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15

Step-by-step explanation:

multiply the 6 by 3 and get 18, so do the same for the top, so 5 x3 = 15

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b. v(t) gives the Johanna's velocity at time t. The magnitude of her velocity, or speed, is |v(t)|. Integrating this would tell us the total distance she has traveled whilst jogging.

The Riemann sum approximates the integral as

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