1. Rewrite simple rational expressions in different forms; using inspection, long division, or, for the more complicated examples, a computer algebra system
2. Create equations and inequalities in one variable and use them to solve problems.    Include equations arising from linear and quadratic functions, and simple rational and exponential functions.
3.  Solve simple rational and radical equations in one variable, and give examples showing how extraneous solutions may arise.
4. For a function that models a relationship between two quantities, interpret key features of graphs and tables in terms of the quantities, and sketch graphs showing key features given a verbal description of the relationship. Key features include: intercepts; intervals where the function is increasing, decreasing, positive, or negative; relative maximums and minimums;symmetries; end behavior; and periodicity. ★
5. Identify the effect on the graph of replacing f(x) by f(x) + k, k f(x), f(kx), and f(x + k) for specific values of k (both positive and negative); find the value of k given the graphs. Experiment with cases and illustrate an explanation of the effects on the graph using technology. 

POWER POINT 

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Translating Rational Functions

Objective

Identify the effect on the graph of replacing f(x) by f(x) + k, k f(x), f(kx), and f(x + k) for specific values of k (both positive and negative); find the value of k given the graphs. Experiment with cases and illustrate an explanation of the effects on the graph using technology. 
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HELPFUL WEBSITES

VIDEOS AND POWER POINTS

​Graphing Rational Functions-

OBJECTIVE
For a function that models a relationship between two quantities, interpret key features of graphs and tables in terms of the quantities, and sketch graphs showing key features given a verbal description of the relationship. Key features include: intercepts; intervals where the function is increasing, decreasing, positive, or negative; relative maximums and minimums;symmetries; end behavior; and periodicity. ★

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HELPFUL WEBSITES 

• Graphing Rational Functions - The WHOLE THING! 

• Increasing and Decreasing Intervals in Rational Functions

• Introduction to Rational Functions

• Finding Horizontal Asymptotes ( and slants)

• Finding Vertical Asymptotes

• Finding Intercepts of Rational functions

VIDEOS AND POWER POINTS

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FINDING INTERCEPTS OF RATIONAL FUNCTIONS

DISCONTINUITIES - HOLES AND ASYMPTOTES

FINDING HORIZONTAL ASYMPTOTES _ THE RULES!