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# Math

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## Anya Bohatiuk

on 17 May 2016

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#### Transcript of Math

Section 5.2 Graphing Simple Rational Functions
Essential Question
How do you graph a rational function and find the Vertical and Horizontal asymptotes?
Objective
Graph parent function f(x)= 1/X , to understnad zeros and lines of asymptote or a rational function and be able to identify domain and range.

Practice Problems
1. y= 2
x

2. y= 1 + 3
x

3. y= -1 + 3
x

4. y= 2
x-1
Real life application
A rational function can be used to determine the concentrtion of a certain drug after a fixed amount of hours. This is important becuse it allows doctors to be aware of how far the drug has affected the patient before starting a treatment since the outcome can affect the concentration of the drug. If doctors did not do this a patient could possibly wake up during surgery because doctors weren't aware of when the drug was going to wear off.
Wrap Up
- What is a line of Asymptote?
-How do we find it?
- How do we graph it?
- Why is this important in real life?
A
Rational Function
is a function that can be represented through an equation in the form:
f(x)= p(x)
q(x)
Both Polynomials functions, where q(x) cannot be equal to zero.
Find the Lines of asymptote and identify domain and range and then graph.
Steps To Graph Simple Rational Functions
Step 1- Identify if there are any zeros
Step 2-Identify and draw lines of asymptote.
Step 3- Draw branches of the hyperbola's so they appraoch but do not touch the asymptotes.
Z
OO ANIMALS
D
O NOT
B
ITE
Anya Bohatiuk, Halle Rosenwald
Chandler Chavarria
Full transcript