Rational functions, Algebra

In this last section we have to discuss graphing rational functions.  It's is possibly best to begin along a rather simple one that we can do with no all that much knowledge on how these work.

Let's sketch the graph of f ( x ) = 1/x .  Firstly, as this is a rational function we will have to be careful with division by zero issues.  Thus, we can see from this equation which we'll ought to avoid x = 0 as that will give division by zero.

 Now, let's just plug in some of values of x and see what we obtain.

x

f(x)

-4

-0.25

-2

-0.5

-1

-1

-0.1

-10

-0.01

-100

0.01

100

0.1

10

1

1

2

0.5

4

0.25

Thus, as x get large (positively and negatively) the function keeps the sign of x & gets smaller & smaller.  Similarly as we approach x = 0 the function again keeps the similar sign as x however start getting quite large.  Following is a sketch of this graph.

301_Rational Functions.png

Firstly, notice that the graph is into two pieces.  Almost all of the rational functions will have graphs in multiple pieces like this.

Next, notice that this graph does not contain any intercepts of any kind.  That's simple sufficient to check for ourselves.

Posted Date: 4/8/2013 2:06:37 AM | Location : United States







Related Discussions:- Rational functions, Assignment Help, Ask Question on Rational functions, Get Answer, Expert's Help, Rational functions Discussions

Write discussion on Rational functions
Your posts are moderated
Related Questions
square root of j+ square root of j +14 = 3 square root j +10. what is the value of J?


John can drive his car 15 miles on 2 gallons. How many gallons of gas will john need to drive 195 miles?

We will begin with inequalities that only have a single inequality in them.  The thing that we've got to keep in mind here is that we're asking to find out all the values of the


how do you find the axis of symmetry on a parabola

I have a homework question to use the factor theorem that I need to use Synthetic Substitution with. I did all the work and the divisor is a factor but the equation I have to use t

REENA HAS PENS AND PENCILS WHICH TOGETHER ARE 40 IN NUMBER.IF SHE HAS 5 MORE PENCILS AND 5 LESS PENS,THEN THE NUMBER PENCILS WOULD BECOME 4 TIMES THE NUMBER OF PENS.FIND THE ORIGIN


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