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.  

the slope of the line is 60

one point on the line is (40,10)

step-by-step explanation:

in the equation outside the parenthesis the equation always tells you the slope. in this case it is 60.

in the parenthesis is also says 40 which is x because it is near the x and 10 is y because it is near y.