Answer:
Yes all answers were correct
Step-by-step explanation:
Given : The function [tex]y=\frac{19800}{x}[/tex] 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.
[tex]D: (-\infty,0)\text{U}(0,\infty) x|x\neq 0[/tex]
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
[tex]y=\frac{19800}{x}[/tex]
[tex]y=\frac{19800}{\infty}[/tex] , [tex][\frac{1}{\infty}=0][/tex]
[tex]y=0[/tex]
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
[tex]y=\frac{19800}{x}[/tex]
[tex]y=\frac{19800}{0}[/tex] , [tex][\frac{1}{0}=\infty][/tex]
[tex]y=+\infty[/tex]
Therefore, Answer is correct that y approaches +infinity.
Answer:
the answers are in the question they are all right
Step-by-step explanation:
thank you to whoever posted this <3
