Select the correct answer.
which table represents a nonlinear function?

C.

Step-by-step explanation:

If equal changes in x result in equal changes in y, then the function is linear.

A. Are the changes from (2, 4) to (4, 1) and from (4, 1) to (6, 11) equal?

The change from (2, 4) to (4, 1):

When x changes from 2 to 4, the change is 4 - 2 = 2.

y changes from -9 to 1; the change is 1 - (-9) = 10

The change from (4, 1) to (6, 11):

When x changes from 4 to 6, the change is 6 - 4 = 2.

y changes from 1 to 11; the change is 11 - 1 = 10

For a change in x of 2, the change in y is 10 in both cases. This function is linear.

B. Are the changes from (2, -14) to (4, -16) and from (4, -16) to (6, -18) equal?

The change from (2, -14) to (4, -16):

When x changes from 2 to 4, the change is 4 - 2 = 2.

y changes from -14 to -16; the change is -16 - (-14) = -2

The change from (4, -16) to (6, -18):

When x changes from 4 to 6, the change is 6 - 4 = 2.

y changes from -16 to -18; the change is -18 - (-16) = -2

For a change in x of 2, the change in y is -2 in both cases. This function is linear.

C. Are the changes from (2, 0) to (4, 6) and from (4, 6) to (6, 16) equal?

The change from (2, 0) to (4, 6):

When x changes from 2 to 4, the change is 4 - 2 = 2.

y changes from 0 to 6; the change is 6 - 0 = 6

The change from (4, 6) to (6, 16):

When x changes from 4 to 6, the change is 6 - 4 = 2.

y changes from 6 to 16; the change is 16 - 6 = 10

For a change in x of 2, the change in y is 6 in one case and 10 in the other case. This function is not linear.

D. Are the changes from (2, -9) to (4, -6) and from (4, -6) to (6, -3) equal?

The change from (2, -9) to (4, -6):

When x changes from 2 to 4, the change is 4 - 2 = 2.

y changes from -9 to -6; the change is - 9 - (-6) = -3

The change from (4, -6) to (6, -3):

When x changes from 4 to 6, the change is 6 - 4 = 2.

y changes from -6 to -3; the change is -6 - (-3) = -3

For a change in x of 2, the change in y is -3 in both cases. This function is linear.

false

step-by-step explanation:

false.   two legs of the trapezoid would be congruent, but the other two would not.   were all the legs congruent, then we'd have a square; were the 2 shorter sides congruent and the 2 longer sides also congruent, we'd have a rectangle.

step-by-step explanation:

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