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Precalculus Period: Name: Date: Worksheet: Graphing Rational Functions III ! ! !!! !! ! !! ! !! !!! End behavior same as. Factored: Zeros: Vertical Asymptotes: ! ! !! End behavior same as.

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How To: Given a linear function, graph by plotting points. Choose a minimum of two input values. Evaluate the function at each input value. Use the resulting output values to identify coordinate pairs. Plot the coordinate pairs on a grid. Draw a line through the points.

This is done by adding or subtracting a value, d, to a rational function. Adding shifts the graph upward while subtracting shifts the graph downward. Horizontal Translation: shifting a graph left or right. This is done by adding or subtracting a value, c, to the x term of a rational function.

Graphing Rational Functions Find the asymptotes of the rational function, if any. Draw the asymptotes as dotted lines. Find the x -intercept (s) and y -intercept of the rational function, if any. Find the values of y for several different values of x . Plot the points and draw a smooth curve to connect the points.

Process for Graphing a Rational Function Find the intercepts, if there are any. ... Find the vertical asymptotes by setting the denominator equal to zero and solving. Find the horizontal asymptote, if it exists, using the fact above. The vertical asymptotes will divide the number line into regions. ... Sketch the graph.

How to: Solve a Rational Equation. Factor all denominators to determine the LCD. Note the restrictions to x. ... Multiply both sides of the equal sign by the LCD. Every term in the equation is multiplied by the LCD. ... Solve the resulting equation. Check for extraneous solutions.

Graphs of rational functions are very distinctive, because they get closer and closer to certain values but never reach those values. This behavior is called asymptotic behavior, and we will see that rational functions can have horizontal asymptotes, vertical asymptotes or oblique (or slant) asymptotes.

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Form Packages
Adoption
Bankruptcy
Contractors
Divorce
Home Sales
Employment
Identity Theft
Incorporation
Landlord Tenant
Living Trust
Name Change
Personal Planning
Small Business
Wills & Estates
Packages A-Z
Form Categories
Affidavits
Bankruptcy
Bill of Sale
Corporate - LLC
Divorce
Employment
Identity Theft
Internet Technology
Landlord Tenant
Living Wills
Name Change
Power of Attorney
Real Estate
Small Estates
Wills
All Forms
Forms A-Z
Form Library
Customer Service
Terms of Service
DMCA Policy
About Us
Blog
Affiliates
Contact Us
Privacy Notice
Delete My Account
Site Map
Industries
Forms in Spanish
Localized Forms
State-specific Forms
Forms Kit
Legal Guides
Real Estate Handbook
All Guides
Prepared for You
Notarize
Incorporation services
Our Customers
For Consumers
For Small Business
For Attorneys
Our Sites
US Legal Forms
USLegal
FormsPass
pdfFiller
signNow
airSlate workflows
DocHub
Instapage
Social Media
Call us now toll free:
1-877-389-0141
As seen in:
  • USA Today logo picture
  • CBC News logo picture
  • LA Times logo picture
  • The Washington Post logo picture
  • AP logo picture
  • Forbes logo picture
© Copyright 1997-2025
airSlate Legal Forms, Inc.
3720 Flowood Dr, Flowood, Mississippi 39232