Idea63
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Which line represents a horizontal asymptote of f (x) = StartFraction 5 x squared minus 3 x + 2 Over 10 x squared minus 1 EndFraction y = –2 y = –0.5 y = 0.5 y = 2

ANSWER: B


Which Line Represents A Horizontal Asymptote Of F X StartFraction 5 X Squared Minus 3 X 2 Over 10 X Squared Minus 1 EndFraction Y 2 Y 05 Y 05 Y 2 ANSWER B class=

Sagot :

Answer:

Answer is B

Step-by-step explanation:

Got it right on the quiz

The horizontal asymptote is y=-0.5.

How to find horizontal asymptote?

If the degree of the polynomial in the numerator and the denominator is same then the horizontal asymptote is given by [tex]y=\frac{\text{leading coefficient of the numerator}}{\text{ leading coefficient of the denominator}}[/tex]

What will the horizontal asymptote of given function?

In the given function, the degree of the polynomial of the numerator is 2 and of the denominator is also 2.

The leading coefficient in the numerator is -5 and in the denominator it is 10.

Divide -5 by 10 and equate the result to y to get the horizontal asymptote .

[tex]y=\frac{-5}{10}[/tex]

y=-0.5

Therefore, the correct option is b.

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