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Title: Introduction to Rational functions
Description: This is a power point presentation that i made to understand rational functions.It contents clear definitions with examples
Description: This is a power point presentation that i made to understand rational functions.It contents clear definitions with examples
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Examples for rational function
1
...
3
...
There is a hall for rent
...
What is the average cost for hall if it is used totally
160 days in a year?
Answer : If average cost is y and number of days x
2000+50𝑥
Y=
𝑥
2000+50∗160
Y=
160
10000
Y=
160
y= 62
...
50
2
...
Water and sugar is
added into the tank with 10 liters per minute and 12 grams per minute respectively
...
5758 grams per liter
Graphing problems
1
...
5
2
0
0
...
666667
0
...
Transformation problems
1
f ( x)
x
Parent rational function is
Graph of the rational parent function is a hyperbola
...
a
f ( x)
k
xh
General form
|a| > 1: stretches away from origin
...
a < 1: reflects graph across x-axis
...
k : translates function up or down
...
Identify the asymptotes, domain & range for the given function,
then sketch the graph of the function
...
Plot these points
...
Another few examples for Transformation
1
𝑥2
1
+4
(𝑥−3)2
1
2 +2
𝑥
1
+4
(𝑥−3)2
conclusion
Rational functions are not only used in the classroom
...
specially
they used to model and solve many problems in the business world
...
Sales manager use this to calculate average
sales over time
...
Transformation is also very important for the applications
...
Title: Introduction to Rational functions
Description: This is a power point presentation that i made to understand rational functions.It contents clear definitions with examples
Description: This is a power point presentation that i made to understand rational functions.It contents clear definitions with examples