Answer:
(b) Function B
Explanation:
The exponent of 2 in Function B tells you it is nonlinear. A linear function will not have any product of variables or any roots.
You know function A is linear because the differences in x-values are all the same, and the differences in y-values are all the same. What makes it linear is that the ratio of y-differences to x-differences is a constant:
Δy/Δx = (8 -10)/(2 -0) = -1 = (6 -8)/(4 -2) = (4 -6)/(6 -4)
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Function B is nonlinear.