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Mathematics
 Standard 8.Understands and applies basic and advanced properties of functions and algebra
  Level V (College Readiness)
   Benchmark 6
Identifies if a function has an inverse and, if so, determines the inverse function
    Knowledge/skill statement 2
Determines the inverse of a function
    
Common Core Reference:
    HS.F-BF.4, HS.F-TF.7(+)
HS.F-BF.4 Find inverse functions.

* Solve an equation of the form f(x) = c for a simple function f that has an inverse and write an expression for the inverse. For example, f(x) =2 x3 or f(x) = (x+1)/(x¨C1) for x ¡Ù 1.

* (+) Verify by composition that one function is the inverse of another.

* (+) Read values of an inverse function from a graph or a table, given that the function has an inverse.

* (+) Produce an invertible function from a non-invertible function by restricting the domain.

HS.F-TF.7(+)Use inverse functions to solve trigonometric equations that arise in modeling contexts; evaluate the solutions using technology, and interpret them in terms of the context.

    
Citation reference
BD = benchmark, declarative
BP = benchmark, procedural
BC = benchmark, contextual
K = Knowledge
S = Skill
P = Performance

1st letter/number of each code in parentheses:
*   McREL Report
2   Project 2061: Benchmarks for Science Literacy
AC   ACT, College Readiness Standards
AD   American Diploma Project
B1   International Baccalaureate: Math, Primary
B2   International Baccalaureate: Math, Middle
B3   International Baccalaureate: Math, High
C   CBE: Standards for Excellence
C3   CBE: Standards for Excellence, end of grade 3
C5   CBE: Standards for Excellence, end of grade 5
CB   College Board: College Board Standards for College Success: Mathematics and Statistics
CO   CDE: Building Blocks to Colorado’s Content Standards
D   Department of Defense: Prekindergarten Mathematics
HS   Head Start: Child Outcomes Framework
M   NCTM: Principles & Standards for School Mathematics
MA   MDE (Massachusetts): Early Childhood Standards
N4   NAEP: Released items for grade 4 (2003)
N8   NAEP: Released items for grade 8 (2003)
P   NAEP: Mathematics Assessment Framework
PS   McGraw-Hill: Pre-Kindergarten Standards: Guidelines for Teaching and Learning
S1   New Standards: Elementary School
S2   New Standards: Middle School
S3   New Standards: High School
T   TEA: Texas Prekindergarten Curriculum Guidelines
T1   TIMSS: Population 1 assessed grade 4 (released 1998)
T2   TIMSS: Population 2 assessed grade 8 (released 1998)
T3   TIMSS: Final Year assessed grade 12 (released 1998)
U   Understanding University Success: A Report from Standards for Success
UK   United Kingdom: Desirable Outcomes for Children’s Learning

2nd letter code :
E = Explicitly stated in document
I = Implicit in document

Number:
Page number of the cited document