Question

HELP (PRE-CALC.)

• Find the domain of f.
• Identify any vertical asymptotes of the graph of y=f(x).
• Identify any holes in the graph.
• Find the horizontal asymptote, if it exists.
• Find the slant asymptote, if it exists.
• Graph the function using a graphing utility and describe the behavior near the asymptotes.

f(x)=x/3x-6

Answer 1

the domain is (-oo,2)U(2,oo)
vertical retricemptope is x=2

Answer 2

HOW DO YOU FIGURE OUT THE HORIZONTAL ASYMPTOTES

Answer 3

@Mertsj help him,.please, wait for what?

Answer 4

hang on. I will

Answer 5

thank you

Answer 6

THANKS

Answer 7

1. If the degree of the numerator is less than the degree of the denominator then y = 0 is a horizontal asymptote.
2. If the degree of the numerator is equal to the degree of the denominator then y=coefficient of leading term of numerator/coefficient of leading term of denominator is a horizontal asymptote.
3. If the degree of the numerator is greater than the degree of the denominator, there is no horizontal asymptote.

Answer 8

So in your case, x is the leading term in both numerator and denominator. So the degrees are equal. Also both have coefficient 1 and 1/1 = 1 so y =1 is the horizontal asymptote.

Answer 9

http://www.wolframalpha.com/input/?i=f%28x%29%3Dx%2F%283x-6%29