2 Answers

Jakebrinkmann · Answer 1 · 2020-05-08T02:22:55+0000

Answer:

Yes all answers were correct

Explanation:

Given : The function
y=(19800)/(x) is a rational function.

To check all that apply :

1) What are the asymptotes of the function

The vertical asymptotes by finding the values that make the equation undefined.

At x=0 function is undefined.

The horizontal asymptotes by comparing the degrees of the numerator and denominator or the function that approaches but never touches.

At y=0 (Also seen in the graph)

Therefore, Answer is correct X=0, Y=0

2) What is the domain of the function

The domain by finding where the equation is defined.

$D: (-\infty,0)\text{U}(0,\infty) x|x\\eq 0$

Therefore, Answer is correct that all real numbers except 0.

3) What is the behavior of the function as x approaches +infinity

At x approaches to +infinity y approaches to zero

y=(19800)/(x)

$y=(19800)/(\infty)$ ,
$[(1)/(\infty)=0]$

y=0

Therefore, Answer is correct that y approaches zero .

4) What is the behavior of the function as x approaches zero from the right .

At x approaches to zero y approaches to +infinity

y=(19800)/(x)

y=(19800)/(0) ,
$[(1)/(0)=\infty]$

$y=+\infty$

Therefore, Answer is correct that y approaches +infinity.

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