PRECAL.MATH.2.M
Describe the left-sided behavior and the right-sided behavior of the graph of a function around discontinuities.
Precalculus · Texas Essential Knowledge and Skills (TEKS) · TEKS 2012
Standard Unwrapping
AI-generated as a starting point — sign in to edit.Vocabulary
left-sided behaviorright-sided behaviorgraphfunctiondiscontinuities
Skills
- describe (left-sided behavior of a graph around discontinuities) #dok2
- describe (right-sided behavior of a graph around discontinuities) #dok2
- identify (discontinuities in the graph of a function) #dok1
- analyze (the behavior of a function's graph near discontinuities) #dok2
- compare (left-sided and right-sided behaviors at discontinuities) #dok2
Learning Targets
- I can identify discontinuities in the graph of a function. #dok1
- I can describe the left-sided behavior of a graph near a discontinuity. #dok2
- I can describe the right-sided behavior of a graph near a discontinuity. #dok2
- I can compare the left-sided and right-sided behaviors at a discontinuity. #dok2
- I can analyze how a function behaves as it approaches a point of discontinuity from both sides. #dok2
Big Ideas
- The behavior of a function near discontinuities may differ depending on the direction of approach.
- Understanding the left-sided and right-sided behavior of functions around discontinuities helps in analyzing and interpreting graphs more accurately.
Essential Questions
- What is the difference between left-sided and right-sided behavior of a function around a discontinuity?
- How can we describe what happens to a function's graph as it approaches a discontinuity from either side?
- Why is it important to analyze both sides of a discontinuity separately?
- How can observing the left-sided and right-sided behavior help us understand the nature of a discontinuity?
- In what real-world contexts might analyzing behavior near discontinuities be important?