ALG1.MATH.9.A
Determine the domain and range of exponential functions of the form f(x) = abx and represent the domain and range using inequalities.
Algebra I · Texas Essential Knowledge and Skills (TEKS) · TEKS 2012
Standard Unwrapping
AI-generated as a starting point — sign in to edit.Vocabulary
domainrangeexponential functionsforminequalities
Skills
- determine (domain of exponential functions of the form f(x) = ab^x) #dok2
- determine (range of exponential functions of the form f(x) = ab^x) #dok2
- represent (domain and range of exponential functions using inequalities) #dok2
- identify (the structure/form of an exponential function as f(x) = ab^x) #dok1
Learning Targets
- I can recognize exponential functions written in the form f(x) = ab^x. #dok1
- I can identify the domain of an exponential function given in the form f(x) = ab^x. #dok2
- I can identify the range of an exponential function given in the form f(x) = ab^x. #dok2
- I can represent the domain of an exponential function using inequalities. #dok2
- I can represent the range of an exponential function using inequalities. #dok2
Big Ideas
- The domain and range of exponential functions can be systematically determined and precisely expressed using inequalities.
- Representing domain and range with inequalities helps clarify the real-world applications and limitations of exponential functions.
Essential Questions
- How can you determine the domain and range of an exponential function in the form f(x) = ab^x?
- Why is it useful to represent domain and range using inequalities?
- How do real-world contexts influence the domain and range of exponential functions?
- What differences, if any, exist between the domain and range of various exponential functions?