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

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


   

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) About Me  (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