Which graph represents the function f(x) = 2x/x^2-1

The correct answer is B

Step-by-step explanation:

Step 1

The first step in identifying the graph of the function is to determine where the vertical asymptotes occur. The vertical asymptotes occurs where the expression in the numerator is zero,

.

The next step is to calculate the intercept. The intercept occurs where .  We determine intercept as shown below,

Step 2

The next step is to find the intercept. The intercept occurs when . We determine the intercept as shown below,

The intercept occurs at

Step 3

We now investigate the behavior of the function for different values of .  We can tell that

,

Step 4

The only graph that has vertical asymptotes at and that crosses goes through and meets all the conditions in Step 3 is the second graph B.

two? xd

step-by-step explanation: