Question

Which of the following tables shows a nonlinear function?

Answer 1

For this case we just need to use the concept of slope given by:

`m=(y_2-y_1)/(x_2-x_1)`

Case a

`m=(-2+2)/(1+1)=(-2+2)/(2-1)=(-2+2)/(3-2)=0`

Then is linear

Case b

`m=(-4+7)/(0+2)\\e(-3+4)/(1-0)`

Case c

`m=(1-0)/(0+1)\\e(4-1)/(1-0)`

Case d

`m=(-2+4)/(0+4)=(-1+2)/(2-0)=(0+1)/(4-2)=(1)/(2)`

is linear

Then the best options are b and c