Identify the domain, range, zeros, and intercepts of a function presented algebraically or graphically. Domains may be limited by problem context or in graphical representations. (a, d, e)
- Algebra and Functions
The student will investigate and analyze linear, quadratic, exponential, and logarithmic function families and their characteristics. Key concepts include a) domain and range; b) intervals on which a function is increasing or decreasing; c) absolute maxima and minima; d) zeros; e) intercepts; f) values of a function for elements in its domain; g) connections between and among multiple representations of functions using verbal descriptions, tables, equations, and graphs; h) end behavior; and i) vertical and horizontal asymptotes.
The student will use problem solving, mathematical communication, mathematical reasoning, connections, and representations to