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

Mathematics

2 answers:

galina1969 [7]3 years ago

4 0

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.

xenn [34]3 years ago

3 0

Answer:

The graph approaches 0 as x approaches infinity.

The graph approaches 0 as x approaches negative infinity.

Step-by-step explanation:

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