Question

Which of these tables represent a nonlinear function?

Answer 1

The third one. As the x increases by 1, the increase in y is not constant

Answer 2

(3)

Explanation:

Analise the slope m =
`(y_(2) -y_(1) )/(x_(2) -x_(1) )`

(1). (19-20)/(18-17) = - 1 ; (18-19)/(19-18) = - 1 ; (17-18)/(20-19) = - 1 ⇒ table represents a linear function.

(2). (-17+16)/(18-17) = - 1 ; (-18+17)/(19-18) = - 1 ⇒ table represents a linear function.

(3). (17-16)/(18-17) = 1 ; (19-17)/(19-18) = 2 ⇒ table represents a nonlinear function.