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It is important to note that reciprocal functions and rational functions are different. The reciprocal of a function is very specifically 1/f(x). A rational, however, does not necessarily have 1 as the numerator.
Mid-Chapter Review
(good extra practice)
pg. 277 # 1, 2, 4-9
Unit 5 - Types of Questions
Unit 5 - Types of Questions
5.1 - Graphs of Reciprocal Functions
Match functions with their graphs, and then determine which are reciprocals
Determine the zeros of original functions, and vertical asymptotes of the reciprocal function
Sketch the graph of a reciprocal function given a graph
Draw the graph of f(x) and 1/f(x) on the same graph
Determine the equation of a function given
5.2 - Quotients of Polynomial Functions
Match equations with graphs for rational functions
State all asymptotes and holes for functions
Write an equation for a function given a set of conditions
5.3 - Graphs of Rational Functions
Match function with graphs
For a function, state asymptotes and behaviour near asymptotes
For a function, state domain and range
For a function, state where it is positive and negative
Sketch rational functions
Write an equation for a rational function given a set of conditions
5.4 - Solving Rational Functions
Solve rational equations
Word problems involving rational equations
5.5 - Solving Rational Inequalities
Solve rational inequalities... big shock!
Find the asymptotes, holes and zeros
Use the interval table to test which interval(s) satisfy the situation
5.6 - RoC in Rational Functions
Estimate the IRC at various points for rational functions
Find the slope of the tangent (IRC) at various points
Determine where there is no tangent line for rational functions
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