Match the rational function in Column I with the appropriate desc...

Question

Match the rational function in Column I with the appropriate descrip-tion in Column II. Choices in Column II can be used only once. ƒ(x)=1/(x+4)

Accepted Answer

Hey, everyone here we are asked to rate the equation for the horizontal Asymptote for the function F of X is equal to one divided by the quantity of X plus 13. Here we have four answer choice options. Answer A X is equal to negative 13. Answer B X is equal to 13. Answer C Y is equal to zero and answer D X is equal to zero. So to determine the horizontal Asymptote for our given function, we just need to simply compare the degree in the numerator with the degree in the denominator. So looking at our numerator finding the degree in our numerator, we see that we do not have an X term in the numerator. And the therefore the degree is just going to be zero. And now looking for the degree in the denominator, we see that we have one X term that is raised to the first power. So therefore, we know that the degree in the denominator is just going to be one. So now in conclusion, we see that the degree in the numerator is less than the degree in the denominator. And because the degree in the numerator is less than the degree in the denominator. We know that our horizontal Asymptote is going to be Y is equal to zero. So our equation for the horizontal Asymptote is just Y is equal to zero, which leaves us with answer choice C where again we have the equation Y is equal to zero for our horizontal Asymptote. Thanks for watching. I hope you found this video helpful and I'll see you again next time.

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Match the rational function in Column I with the appropriate descrip-tion in Column II. Choices in Column II can be used only once. ƒ(x)=1/(x+4)

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