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Changing the Question

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A Straightforward Problem

  • Graph

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A Straightforward Problem

  • Graph

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  • Plot intercepts (x and y)
  • Look at characteristics of zeros
  • Behaviour at infinity

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Change the Question

  • This was (relatively) straightforward
  • Given the number of intercepts and local behaviour (exponents), then graph
  • Ask something similar in a different way
    • Find a specific graph that has this behaviour
    • What are all the graphs that have these behaviours?
    • “How many?” - harder to answer

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Question #1

  • What polynomial with degree 3 has intercepts at x=0, 1, 2 that goes through (3, 4)?

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Question #2

  • What polynomial with degree 3 has intercepts at x=0, 2 that goes through (3, 4)?

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Question #3

  • Find all the polynomials with degree 3 have intercepts at x=0, 2?

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Question #3

  • Find all the polynomials with degree 3 have intercepts at x=0, 2?

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Question #4

  • How many polynomials with degree 6 have exactly the x-intercepts at x=0, 1 and go through the point (2,3)?

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CREDITS

Special thanks to all the people who made and released these awesome resources for free:

  • Presentation template by SlidesCarnival

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