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

Solving quadratics equations by factoring, the parking lot will have an are...

the parking lot will have an area of 160 square meters.The shorter base is 4m longer than the height of the trapezoid,and the longer base is 8m longer than the height.What is the l

Trinomials, Simplify 3(x-2)to the second -2(x+1)

Simplify 3(x-2)to the second -2(x+1)

Advantage and disadvantage of using algebraic distance, 1) The goal of the ...

1) The goal of the first questions is to implement some code that performs calibration using the method described in the book; by first computing a projection matrix, and then deco

Absolute value inequalities, In the earlier section we solved equations whi...

In the earlier section we solved equations which contained absolute values.  In this section we desire to look at inequalities which contain absolute values.  We will have to exami

Example of inverse functions, Here are two one-to-one functions f (x ) and ...

Here are two one-to-one functions f (x ) and g ( x ) if     (f o g )( x ) = x           AND                         ( g o f ) ( x ) = x then we say that f ( x )& g ( x ) are

Word problems, can you help me solve this problem?

can you help me solve this problem?

Inequalities word problem, Activity 1: Graphing To fill an order for Sizzli...

Activity 1: Graphing To fill an order for Sizzlin'' Sauce sauces, you bought 1050 green peppers and 1200 hot chili peppers. • Write and graph a system of inequalities to represent

Example of mixing problems, How much of a 50% alcohol solution should we mi...

How much of a 50% alcohol solution should we mix with 10 gallons of a 35% solution to get a 40% solution? Solution Let x is the amount of 50% solution which we need.  It me

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