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

Differences Between Tempatures, The record high temperature for Asheville, ...

The record high temperature for Asheville, North Carolina was 99 degree Fahrenheit. The low record was -17 degrees Fahrenheit. What is the difference between these two temperatures

Goemetry, hello please help me on the result of 6 6sen{a}+3=4sen{a}+4

hello please help me on the result of 6 6sen{a}+3=4sen{a}+4

Process for graphing a rational function, 1. Determine the intercepts, if t...

1. Determine the intercepts, if there are any.  Recall that the y-intercept is specified by (0, f (0)) and we determine the x-intercepts by setting the numerator equivalent to z

Finding relations for given solutions, The slope is -3 and the y-intercept ...

The slope is -3 and the y-intercept is 4. How do I find a relation in the form y=mx+b which has a solution set line satisfying the given conditions?

Percentage, the student enrollment at a university is 25,300 is expected to...

the student enrollment at a university is 25,300 is expected to increase by 2% next year. what will the enrollment be then?

Word problem.., if you have coupon for 450 off your camera purchase of $100...

if you have coupon for 450 off your camera purchase of $100 or at Zeke''s camera world. write a function relating a camera''s purchase price after coupon.y, to the retail price,x.

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