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Answered

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Which table represents a nonlinear function?
A.
x y
2 -9
4 1
6 11
B.
x y
2 -14
4 -16
6 -18
C.
x y
2 0
4 6
6 16
D.
x y
2 -9
4 -6
6 -3

​

Sagot :

Answer: Choice C

Explanation:

Each table has x increase by 2. So we can ignore the x values.

For choice A, the y values increase by 10 each time (eg: -9+10 = 1). This constant increase in the y values leads to a constant rate of change. Therefore, choice A is linear. We can rule out choice A.

Choices B and D are similar stories. For choice B, y decreases by 2 each time. Choice D has y increase by 3 each time.

Choice C is the one where the y values do not change at the same rate. Going from 0 to 6 is a change of +6. Going from 6 to 16 is a change of +10. This is sufficient evidence to see that we have a nonlinear function here. If you were to graph the points for table C, then you should see that the three points aren't on the same straight line. Whereas choices A,B and D all have the three points on the same straight line.

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