PRECAL.MATH.2.F
Graph exponential, logarithmic, rational, polynomial, power, trigonometric, inverse trigonometric, and piecewise defined functions, including step functions.
Precalculus · Texas Essential Knowledge and Skills (TEKS) · TEKS 2012
Standard Unwrapping
AI-generated as a starting point — sign in to edit.Vocabulary
exponential functionslogarithmic functionsrational functionspolynomial functionspower functionstrigonometric functionsinverse trigonometric functionspiecewise defined functionsstep functionsgraph
Skills
- graph (exponential functions) #dok2
- graph (logarithmic functions) #dok2
- graph (rational functions) #dok2
- graph (polynomial functions) #dok2
- graph (power functions) #dok2
- graph (trigonometric and inverse trigonometric functions) #dok2
- graph (piecewise defined and step functions) #dok2
Learning Targets
- I can produce graphs of exponential, logarithmic, rational, polynomial, power, trigonometric, inverse trigonometric, and piecewise defined functions. #dok2
- I can differentiate between the graphs of various types of functions, including step functions. #dok2
- I can identify features on function graphs such as intercepts, asymptotes, and intervals of increase or decrease. #dok2
Big Ideas
- Different types of functions have distinct graphical behaviors and characteristics that can be represented visually.
- Graphing multiple function families helps students recognize patterns and relationships among functions.
Essential Questions
- How do you determine the graph of an unfamiliar function based on its algebraic form?
- What characteristics distinguish the graph of a polynomial function from that of a rational or logarithmic function?
- How can you use key features such as intercepts, asymptotes, or discontinuities to accurately graph a function?
- Why might it be useful to compare graphs of different types of functions on the same coordinate plane?
- In what real-world situations would it be important to identify or interpret the graph of a specific function type?