Which sets of ordered pairs are from linear functions? Select the TWO answers that apply. Group of answer choices { (0,1), (1,2), (2,3), (3,4) } { (0,0), (1,1), (2,4), (3,9) } { (1,1), (2,8), (3,27), (4,64) } { (0,4), (1,6), (3,10), (5,14) }

Question

Mathematics

Davian

14 June, 13:55

Which sets of ordered pairs are from linear functions? Select the TWO answers that apply. Group of answer choices { (0,1), (1,2), (2,3), (3,4) } { (0,0), (1,1), (2,4), (3,9) } { (1,1), (2,8), (3,27), (4,64) } { (0,4), (1,6), (3,10), (5,14) }

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Answers (1)

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Triston Harding · Answer 1

{ (0,1), (1,2), (2,3), (3,4) } { (0,4), (1,6), (3,10), (5,14) }

Step-by-step explanation:

When x-differences are the same, y-differences will be the same for a linear function. When they are not the same, they will be proportional for a linear function.

{ (0,1), (1,2), (2,3), (3,4) } - x-differences are all the same; y-differences are all 1 (linear, y=x+1)

{ (0,0), (1,1), (2,4), (3,9) } - x-differences are all the same; y-differences increase (this is a quadratic function: y=x^2)

{ (1,1), (2,8), (3,27), (4,64) } - x-differences are all the same; y-differences increase (this is a cubic function: y=x^3)

{ (0,4), (1,6), (3,10), (5,14) } - x-differences are 1, 2, 2; y-differences are 2, 4, 4, so are proportional to (double) the x-differences (linear; y=2x+4)