Common Core Math
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Learning Goal

Part of: Analyze functions using different representations — 5 of 10 cluster 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

  1. Identify the zeros of a rational function by finding the zeros of the numerator (excluding values where the denominator is also zero)
  2. Identify vertical asymptotes by finding the zeros of the denominator (where no common factor cancels)
  3. Determine horizontal asymptotes by comparing the degrees of the numerator and denominator
  4. Identify removable discontinuities (holes) when a common factor cancels from numerator and denominator
  5. Sketch a rational function using zeros, asymptotes, and sign analysis to determine the behavior in each region
  6. Use technology to graph rational functions and verify hand-analysis of key features

Slides

Interactive presentations perfect for visual learners • In development

Slides

In development

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