Sketch the graph of function, Algebra

Sketch the graph of function.

f ( x ) =3x + 6 /x -1


Thus, we'll start off with the intercepts. The y-intercept is,

      f (0) =6/-1=-6⇒     (0, -6)


The x-intercepts will be,

3x + 6 = 0

x = -2                   ⇒ ( -2, 0)

Now, we have to determine the asymptotes.  Let's first determine the vertical asymptotes.

x -1 =0                 ⇒   x = 1

Thus, we've got one vertical asymptote. It means that now there are two regions of x's. They are x < 1 and x > 1 .

Now, the largest exponent within the numerator & denominator is 1 and thus by the fact there will be a horizontal asymptote at the line.

                                                   y = 3/1 = 3

Now, we only need points in each region of x's.  As the y-intercept & x-intercept are already in the left region we won't have to get any points there.  It means that we'll only need to get a point in the right region.  It doesn't actually matter what value of x we pick here we only have to keep it rather small so it will fit onto our graph.

f ( 2) = 3( 2) + 6/2 -1 = 12 /1= 12   ⇒  ( 2,12)

Putting all this together illustrate the following graph.

1639_Sketch the graph of function.png

Posted Date: 4/8/2013 2:11:36 AM | Location : United States

Related Discussions:- Sketch the graph of function, Assignment Help, Ask Question on Sketch the graph of function, Get Answer, Expert's Help, Sketch the graph of function Discussions

Write discussion on Sketch the graph of function
Your posts are moderated
Related Questions
The reduced row echelon form of  is equal to R =   (a)  What can you say about row 3 of A? Give an example of a possible third row for A. (b)  Determine the values of

I want to know the solution of this problem: log2.log3(x+2)=2

What do you have to do to be able to answer any problem solving questions (relating to or concerning algebra)?

how to do this problem using quadratic formula to solve the equation 2xexpont 2 minus 9x equals 1

what does x when y=2x=3

1. Kate ran 6 miles more than Peter ran. The sum of their distances is 28 miles. How far did Peter run? The domain of the solution is {0, 6, 11, 24}. a. Define your variable. b. Wr

Express commuter train #12 leaves the downtown station and travels at an average speed of miles per hour towards the north-side station, which is miles away. Express commuter train