find an expression for a rational function f(x) that satisfies the conditions: a horizontal asymptote at y =0, vertical asymptote at x =0, and contains the point (1,11).
f(x) = 11/x
f(x) = 11/ x^3
f(x) = 11 / x^2
All of the above

Question

find an expression for a rational function f(x) that satisfies the conditions: a horizontal asymptote at y =0, vertical asymptote at x =0, and contains the point (1,11).
f(x) = 11/x
f(x) = 11/ x^3
f(x) = 11 / x^2
All of the above

myininaya · Answer

Do you know that y=1/x looks like |dw:1381767698739:dw|


and y=1/x^2 looks like
 |dw:1381767740083:dw|

and y=1/x^3 looks like
|dw:1381767773208:dw|


We can see  a pattern by graphing 1/x^4 and 1/x^5 and so on....

All of these graphs have what in common though?