Respuesta :

fieryanswererft

Answer:

(a) rate of change = 8

(b) Function: y = 8x

(c) Domain: 0 ≤ x ≤ 2

    Range: 0 ≤ y ≤ 16

Explanation:

Looks like a inverse variation sequence.

Inverse Variation formula: y = k(x)

Take two points: (1, 8), (2, 16)

Find the value of k which is constant also considered as rate of change.

Insert values:

  • 8 = k(1)
  • k = 8

===========

  • 16 = k(2)
  • k = 8

Equation: y = 8x

Domain lies in the x axis, Range lies in the y axis.

  • Here domain: 0 ≤ x ≤ 2
  • Here range: 0 ≤ y ≤ 16
  • (1,8)
  • (2,16)

Slope

  • m=16-8/2-1
  • m=8

Equation

  • y=8x+0
  • y=8x

Domain:-

Set of x values

  • [0,2]

Range:-

Set of y values

  • [0,16]

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