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

Answer:

(3)

Step-by-step explanation:

Analise the slope m = $\frac{y_{2} -y_{1} }{x_{2} -x_{1} }$

(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.