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Learning Goal
Part of: Graph functions and show key features — 4 of 5 group items
Graph rational functions
HSF.IF.C.7.d
**HSF.IF.C.7.d**: (+) Graph rational functions, identifying zeros and asymptotes when suitable factorizations are available, and showing end behavior.
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HSF.IF.C.7.d: (+) Graph rational functions, identifying zeros and asymptotes when suitable factorizations are available, and showing end behavior.
What you'll learn
- Identify the zeros of a rational function by finding the zeros of the numerator (excluding values where the denominator is also zero)
- Identify vertical asymptotes by finding the zeros of the denominator (where no common factor cancels)
- Determine horizontal asymptotes by comparing the degrees of the numerator and denominator
- Identify removable discontinuities (holes) when a common factor cancels from numerator and denominator
- Sketch a rational function using zeros, asymptotes, and sign analysis to determine the behavior in each region
- Use technology to graph rational functions and verify hand-analysis of key features
Prerequisites
Slides
Interactive presentations perfect for visual learners • 2 slide decks
Slide Video
Watch narrated slides play like a video lesson • Narrated slide playback
Task-sets
Learning resource • 1 task-sets