To determine the y-intercept for any function, we must plug in zero for x. 

Everywhere there is an x, replace it with a 0. 

When we simiplify we get: 

This corresponds to the below ordered pair. 

We can find the answer by plugging in the different coordinate pairs to test them. 

Since this coordinate pair shows equality on both sides, we know it must be the answer. 

 is a rational function whose numerator has degree greater than that of its denominator (2 and 1, respectively). The graph of such a function does not have a horizontal asymptote.

 is a rational function whose numerator and denominator have the same degree (1). As such, it has as a horizontal asymptote the line of the equation , where  is the quotient of the coefficients of the highest-degree terms of its numerator and denominator. Consequently, the horizontal asymptote of the graph of the equation

is the line of the equation 

, 

or

.

 is a rational function whose numerator and denominator have the same degree (1). As such, it has as a horizontal asymptote the line of the equation , where  is the quotient of the coefficients of the highest-degree terms of its numerator and denominator. Consequently, the horizontal asymptote of the graph of the equation

is the line of the equation

.

 is a rational function whose numerator and denominator have the same degree (2). As such, it has as a horizontal asymptote the line of the equation , where  is the quotient of the coefficients of the highest-degree terms of its numerator and denominator. Consequently, the horizontal asymptote of 

is the line of the equation

, or

The vertical asymptote(s) of the graph of a rational function such as  can be found by evaluating the zeroes of the denominator after the rational expression is reduced. Here, set up and solve the linear equation

The graph of  has the line of the equation  as its only vertical asymptote.

The vertical asymptote(s) of the graph of a rational function such as  can be found by evaluating the zeroes of the denominator after the rational expression is reduced. 

First, factor the numerator. It is a quadratic trinomial with lead term , so look to "reverse-FOIL" it as

by finding two integers with sum 6 and product 5. By trial and error, these integers can be found to be 1 and 5, so 

Therefore,  can be rewritten as 

Set the denominator equal to 0 and solve for :

By the Zero Factor Principle,

or

Therefore, the graph of  has as its two vertical asymptotes the lines of the equations  and , neither of which are among the choices given.

As a rational function,  has as its domain the set of all values for which the denominator is not equal to 0. Solve the equation:

The domain excludes only the value  - that is, the domain is .