which of the following describes the end behavior of f(x)=2x/3x^2-3
Accepted Solution
A:
Answer: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.