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Vladimir79 [104]
3 years ago
15

Which statement best explains whether the table represents a linear or nonlinear function?

Mathematics
2 answers:
pochemuha3 years ago
8 0

Answer: D- It is a nonlinear function because the output values are increasing at different rates.


Step-by-step explanation:

We know that in a linear function , there is always constant rate of change whereas if there is different rates of change of the variables then it is non- linear function.

We know that the rate of change of function =\frac{y_2-y_1}{x_2-x_1}

From x=0 to x=1, the rate of change of function=\frac{2-1}{1-0}=1

From x=1 to x=2, the rate of change of function=\frac{4-2}{2-1}=2

From x=2 to x=3, the rate of change of function=\frac{16-4}{3-2}=12

We can see there is increase in function but at different rates.

Therefore, D is the right option. It is a nonlinear function because the output values are increasing at different rates.



suter [353]3 years ago
3 0
D. It is non-linear because the output values are increasing at different rates
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