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which of the following tables shows a nonlinear function?

Sagot :

Solution

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

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Case a

[tex]m=\frac{-2+2}{1+1}=\frac{-2+2}{2-1}=\frac{-2+2}{3-2}=0[/tex]

Then is linear

Case b

[tex]m=\frac{-4+7}{0+2}\ne\frac{-3+4}{1-0}[/tex]

Case c

[tex]m=\frac{1-0}{0+1}\ne\frac{4-1}{1-0}[/tex]

Case d

[tex]m=\frac{-2+4}{0+4}=\frac{-1+2}{2-0}=\frac{0+1}{4-2}=\frac{1}{2}[/tex]

is linear

Then the best options are b and c