ALGRZ.MATH.7.A

Represent domain and range of a function using interval notation, inequalities, and set (builder) notation.

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

Standard Unwrapping

AI-generated as a starting point — sign in to edit.
Vocabulary
domainrangefunctioninterval notationinequalitiesset notationset builder notation
Skills
  • represent (domain of a function using interval notation, inequalities, and set notation) #dok2
  • represent (range of a function using interval notation, inequalities, and set notation) #dok2
  • translate (between interval notation, inequalities, and set notation for domains and ranges) #dok2
Learning Targets
  • I can identify the domain and range of a function from its representation. #dok1
  • I can represent the domain of a function using interval notation. #dok2
  • I can represent the range of a function using interval notation. #dok2
  • I can write the domain of a function using inequalities. #dok2
  • I can write the range of a function using inequalities. #dok2
  • I can express the domain of a function in set (builder) notation. #dok2
  • I can express the range of a function in set (builder) notation. #dok2
  • I can translate a domain or range from one notation (interval, inequality, set) to another. #dok2
  • I can justify the chosen representation of a domain or range based on the function’s context. #dok3
Big Ideas
  • Describing the domain and range of a function in multiple notations provides a deeper and more flexible understanding of functions.
  • The ability to switch between interval notation, inequalities, and set builder notation is essential for communicating mathematical ideas clearly and accurately.
Essential Questions
  • What is the domain and range of a given function, and how can you represent each using different notations?
  • How do interval notation, inequalities, and set builder notation each represent the same set of numbers for domains and ranges?
  • Why is it important to be able to express domain and range in multiple ways?
  • How does the context of a function influence the best choice of notation for its domain and range?
  • What challenges can arise when translating between notations for representing the domain and range of a function?