Which graph represents the function f (x) = StartFraction 1 Over x + 3 EndFraction minus 2?

Given:

The function is:

To find:

The graph of the given function.

Solution:

We have,

It can be written as:

Putting to find the y-intercept.

So, the y-intercept is .

Putting to find the x-intercept.

So, the x-intercept is .

For vertical asymptote, equate the denominator and 0.

So, the vertical asymptote is .

The degrees of numerator and denominator are equal, so the horizontal asymptote is the ratio of leading coefficients.

So, the horizontal asymptote is .

End behavior of the given function:

as

as

as

as

Using all these key features, draw the graph of given function as shown below.

so what is the question

step-by-step explanation: