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Semester synthesis: choosing the right function family — Homework

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Semester synthesis: choosing the right function family — Homework

Run the differences-and-ratios test on each data set before naming a family.

  1. 1.Data: x=0,1,2,3 with y=4,8,16,32. Identify the family and write an equation.
  2. 2.Data: x=0,1,2,3,4 with y=1,4,9,16,25. Identify the family.
  3. 3.A radioactive sample halves every 8 years. Which function family models this, and what is the base?
  4. 4.Explain how you would distinguish a rational function's graph from an exponential function's graph, just by looking at the picture.
  5. 5.A data set has constant second differences but is not exactly a perfect-square pattern. Is it still quadratic? Explain.
🌲 Homeschool of the FutureTwelfth Grade · Math · week 16 homework