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

Solve word problem, In his boat, Leonard can travel 24 miles upstreamin the...

In his boat, Leonard can travel 24 miles upstreamin the same time it takes to travel 36 miles downstream

Center of the hyperbola, The point where the two asymptotes cross is known ...

The point where the two asymptotes cross is known as the center of the hyperbola. Standard forms There are two standard forms of the hyperbola, one for each type illustrate

Solving system graphically, #questionSolve the system graphically. If the s...

#questionSolve the system graphically. If the system has an infinite number of solutions, use set builder notation to write the solution set. If the system has no solution, state t

Construct a decision tree example, Consider the following game. A player ro...

Consider the following game. A player rolls two dice. If the outcome on both dice is the same (doubles), the player wins $5. If the sum is 7 or 11, the player wins $3. If neither o

Solve, x=1-yto the second power

x=1-yto the second power

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