Which of the following describes the end behavior of f(x)=2x/3x^2-3

Step-by-step explanation:

Next time, please enclose the quantity in the denom. inside parentheses, to eliminate any ambiquity regarding what the divisor is.

              2x               2(x)

f(x) =  =  

          3x² - 3            3(x - 1)(x + 1)

This is the same as:

2         x

--- *

3     (x-1(x+1)

As x grows large, the 2nd fraction approaches 1/x as a limit, which goes to zero.  Hence, the end behavior involves the x-axis as the horizontal asymptote.  This agrees with the first answer choice.  

3: 2

step-by-step explanation:

shorter piece is 2: 3, so just reverse it, and you get 3: 2

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step-by-step explanation: