TOPIC MASTERY OBJECTIVE

Students will be able to...		 VIDEO SURVEY PROBLEM SET ADDITIONAL RESOURCES
 
Function Notation


 
identify function notation.

evaluate function notation.

solve equations written in function notation.		 

  

 
https://www.khanacademy.org/math/algebra2/functions_and_graphs/function-introduction/e/functions_1 
https://www.khanacademy.org/math/algebra2/functions_and_graphs/function_expressions/e/functions_2

 
Interval & Set Notation


 
recognize and write intervals of values when using interval notation.

recognize and write the correct symbols when using set notation.		 

   
 

Domain & Range


 

determine the domain and range of a function from its graph.



 
   
https://www.khanacademy.org/math/algebra2/functions_and_graphs/domain_range/e/domain_and_range_0.5
 
Finding Domain Algebraically



determine the restrictions on a function's inputs. 

determine the domain of a function from its equation.		 

 
https://drive.google.com/open?id=0B6JHTSS6YsG0aXNHT3pjWFNLYzg

  
https://www.khanacademy.org/math/algebra2/functions_and_graphs/domain_range/e/domain_of_a_function
 
Increasing, Decreasing & Extrema		  
identify the increasing and decreasing intervals of a function.

identify local & absolute maximum values of a function.

identify local & absolute minimum values of a function.
 

  



 
 
Piecewise Functions		 
graph a piecewise function given the equation.

write the equation of a piecewise function given a graph.		 
 

 

 

 
 
Absolute Value Functions		 
graph an absolute value function.		 

 

 

 
 
Translating Functions		 
change the equation of a function to represent multiple translations.

translate a given graph.		 

 

 

 
https://www.khanacademy.org/math/algebra2/functions_and_graphs/shifting-reflecting-functions/e/shifting_and_reflecting_functions

Function Composition    
compose two functions together.

determine two possible functions that, when composed, yield a given function. 






Inverse Relations
find the inverse of a function given its equation, table, or graph. 

determine if two functions are inverses of each other. 






 
 
Recursive vs. Explicit Formulas		 
Write a rule to represent a sequence of values following a set pattern based on previous terms.

Write a rule to represent a sequence of values following a set pattern based on a specific term number.		 

  


    
 
Arithmetic Sequences		 

Represent arithmetic (linear) sequences with recursive and explicit formulas.

Use recursive and explicit formulas to determine the value of a specific term of an arithmetic sequence.

 


 
https://docs.google.com/forms/d/e/1FAIpQLSfLVUjKn8upwiaSnYeQFCAlAMl1d1qqRXZMAilMHGNN_v9Urw/viewform

 


 
https://www.khanacademy.org/math/precalculus/seq_induction/seq_and_series/e/explicit-formulas-for-arithmetic-sequences


 
Review		  
https://drive.google.com/a/framingham.k12.ma.us/file/d/0B6JHTSS6YsG0aHhpbnp6RVloR2c/view

  

 
Graphing Calculator: 
Entering Functions & Adjusting the Window		Enter functions correctly into the graphing calculator.

Determine an appropriate window to see all important characteristics of a function.

   
Graphing Calculator:
Intersections, Extrema & Zeros		 Identify the extrema of a function and calculate its values using the TI-84.

Calculate the intersection of two functions using the TI-84.

Calculate the zeros of a function using the TI-84.

   
 Review