Rational functions, Algebra

Assignment Help:

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.


Related Discussions:- Rational functions

Simpler method to solve exponential equations, Simpler method Let's beg...

Simpler method Let's begin by looking at the simpler method. This method will employ the following fact about exponential functions. If   b x   = b y      then          x

#pi day, #what is the word udxhhnrr tesyet ide mean

#what is the word udxhhnrr tesyet ide mean

Find solution using quadratic equation, Two cars start out at the similar p...

Two cars start out at the similar point.  One car starts out moving north at 25 mph. later on two hours the second car starts moving east at 20 mph.  How long after the first car s

Linear programing, Trees in urban areas help keep air fresh by absorbing ca...

Trees in urban areas help keep air fresh by absorbing carbon dioxide. A city has $2100 to spend on planting spruce and maple trees. The land available for planting is 45,000 ft2. H

Constant function, It is probably the easiest function which we'll ever gra...

It is probably the easiest function which we'll ever graph and still it is one of the functions which tend to cause problems for students. The most general form for the constant

Algebra 1, I don''t understand anything!

I don''t understand anything!

Transformations, In this section we will see how knowledge of some rather s...

In this section we will see how knowledge of some rather simple graphs can help us graph some more complexes graphs.  Collectively the methods we will learn in this section are cal

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd