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

Question

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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] · Answer 1 · 2022-06-30T15:44:55+03:00

Answer:

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

Step-by-step explanation:

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] · Answer 2 · 2022-06-30T14:22:32+03:00

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 $y=3$