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Find the constant difference for each table of values and use it to describe the data(linear, quadratic,or exponential

Find the constant difference for each table of values and use it to describe the datalinear quadraticor exponential class=
Find the constant difference for each table of values and use it to describe the datalinear quadraticor exponential class=

Respuesta :

sqdancefan

Answer:

  6.  quadratic

  7.  linear

Step-by-step explanation:

6. First differences are ...

  • 5 -2 = 3
  • 6 -5 = 1
  • 5 -6 = -1
  • 2 -5 = -3

Second differences are ...

  • 1 -3 = -2
  • -1 -1 = -2
  • -3 -(-1) = -2

These are constant at -2, so the data are quadratic. The data can be described by y = 6-(x-3)^2.

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7. The x-values are evenly spaced (though decreasing). For our purpose, we can still look at the first differences of the table values in the order given. First differences are ...

  • 8 -4 = 4
  • 12 -8 = 4
  • 16 -12 = 4
  • 20 -16 = 4

These are constant at +4, so the data are linear. The data can be described by y = -4x +12.

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