SOLUTION: y=(8x/4x-1) - 3 how do i find the asymptotes, x and y intercepts and what does the graph look like?

Question 325789: y=(8x/4x-1) - 3
how do i find the asymptotes, x and y intercepts and what does the graph look like?
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

-intercept: The

-intercept is a point of the form

. So, substitute 0 for

to calculate

, the value of the

-coordinate of the

-intercept.

To find the

-intercept(s) and the asymptotes, apply the LCD and perform the addition:

The

-intercept(s) are the value(s) of

for which the numerator of the rational expression is zero, so:

Solve for

to determine the

-coordinate(s) of the

-intercept(s).

Vertical asymptotes are vertical lines of the form

where

is any value of

that makes the denominator of the rational expression equal zero, so:

Solve for

to determine the value(s) for

that define the vertical asymptote(s),

Since the numerator and denominator polynomials are of the same degree, there will be a horizontal asymptote described by

where

is equal to the ratio of the lead coefficients on the numerator and denominator polynomials.

John

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