ALGRZ.MATH.3.B

Compare and contrast the key attributes of a function and its inverse when it exists, including domain, range, maxima, minima, and intercepts, tabularly, graphically, and symbolically.

Algebraic Reasoning · Texas Essential Knowledge and Skills (TEKS) · TEKS 2012

Standard Unwrapping

AI-generated as a starting point — sign in to edit.
Vocabulary
key attributesfunctioninversedomainrangemaximaminimainterceptstablegraphsymbolic representation
Skills
  • compare (key attributes of a function and its inverse) #dok2
  • contrast (key attributes of a function and its inverse) #dok2
  • analyze (domain, range, maxima, minima, and intercepts) #dok2
  • represent (functions and their inverses tabularly, graphically, and symbolically) #dok1
Learning Targets
  • I can identify key attributes of functions, including domain, range, maxima, minima, and intercepts, from a given representation. #dok1
  • I can describe the relationship between a function and its inverse using tables, graphs, and symbolic notation. #dok2
  • I can compare and contrast the key attributes of a function and its inverse using different representations. #dok2
  • I can analyze how the domain and range of a function relate to those of its inverse. #dok2
  • I can justify conclusions about similarities and differences between a function and its inverse using mathematical evidence. #dok3
Big Ideas
  • The relationship between a function and its inverse affects their key attributes such as domain, range, and intercepts.
  • Analyzing functions and their inverses through various representations deepens understanding of function behavior.
Essential Questions
  • How do the key attributes of a function compare to those of its inverse?
  • What patterns do you notice when comparing a function and its inverse using tables, graphs, and symbolic notation?
  • How can the domain and range of a function help you determine the domain and range of its inverse?
  • Why is it important to understand both a function and its inverse in different representations?
  • How can you justify your reasoning when comparing a function with its inverse?