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

Kenneth, brody rode his bike 70 miles in 4 hours. he rode at an average spe...

brody rode his bike 70 miles in 4 hours. he rode at an average speed of 17 mph for t hours and at an average rate of speed of 22 mph for the rest of the time. how long did brody ri

Quarditic, what is quarditic equation

what is quarditic equation

Math question, The Timbuktu post office has only 3 cents and 7 cents stamps...

The Timbuktu post office has only 3 cents and 7 cents stamps having run out of all other denominations. What are the six amounts of postage that cannot be created? How do you know

Reducible to quadratic form, Solve the equation  x 4 - 7 x 2 +12 = 0 ...

Solve the equation  x 4 - 7 x 2 +12 = 0 Solution Now, let's start off here by noticing that                          x 4  = ( x 2 ) 2 In other terms, here we can

Distribution Property, I really need help in this question (-5d + 1)(-2) I ...

I really need help in this question (-5d + 1)(-2) I am really confused

Rational Expressions, I''m having trouble with this problem..t squared-16 d...

I''m having trouble with this problem..t squared-16 divided by t squared minus-t-20

Percents, How do I figure out what is 20% of 100?

How do I figure out what is 20% of 100?

Equations, 2(5+6csquared)-30divided by 3 c=2 d=4

2(5+6csquared)-30divided by 3 c=2 d=4

Exponential growth and decay, There are several quantities out there within...

There are several quantities out there within the world which are governed (at least for a short time period) by the equation,

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