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Standard - 2.8.A2.D

Demonstrate an understanding and apply properties of functions (domain, range, inverses) and characteristics of families of functions (linear, polynomial, rational, exponential, logarithmic).

Eligible Content:
3 Total

Materials & Resources

Assessment Anchor - A2.2.1
Patterns, Relations, and Functions
- Anchor Descriptor - A2.2.1.1 Analyze and/or use patterns or relations.
  - Eligible Content - A2.2.1.1.1 Analyze a set of data for the existence of a pattern and represent the pattern with a rule algebraically and/or graphically.
    
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  - Eligible Content - A2.2.1.1.2
    Identify and/or extend a pattern as either an arithmetic or geometric sequence (e.g., given a geometric sequence, find the 20^th term).
    
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  - Eligible Content - A2.2.1.1.3 Determine the domain, range or inverse of a relation.
    
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  - Eligible Content - A2.2.1.1.4 Identify and/or determine the characteristics of an exponential, quadratic, or polynomial function (e.g., intervals of increasing/decreasing, intercepts, zeros, and asymptotes).
    
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Assessment Anchor - A2.2.2
Applications of Functions
- Anchor Descriptor - A2.2.2.1 Create, interpret and/or use polynomial, exponential and/or logarithmic functions and their equations, graphs or tables.
  - Eligible Content - A2.2.2.1.1 Create, interpret and/or use the equation, graph or table of a polynomial function (including quadratics).
    
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  - Eligible Content - A2.2.2.1.2 Create, interpret and/or use the equation, graph or table of an exponential or logarithmic function (including common and natural logarithms).
    
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  - Eligible Content - A2.2.2.1.3
    Determine, use and/or interpret minimum and maximum values over a specified interval of a graph of a polynomial, exponential or logarithmic function.
    
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  - Eligible Content - A2.2.2.1.4
    Translate a polynomial, exponential or logarithmic function from one representation to another (graph, table and equation).
    
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- Anchor Descriptor - A2.2.2.2 Describe and/or determine families of functions.
  - Eligible Content - A2.2.2.2.1
    Identify or describe the effect of changing parameters within a family of functions (e.g., y = x² and y = x² + 3, or y = x²and y = 3x²).
    
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