Question

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14. Consider the table​

Answer 1

• (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]

Answer 2

(a) rate of change = 8

(b) Function: y = 8x

(c) Domain: 0 ≤ x ≤ 2

Range: 0 ≤ y ≤ 16

Step-by-step 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