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Linear vs Non Linear How do you determine if a function is linear or non linear Linear Function Non Linear Function How do you tell when you get a set of data points x y 2 7 4 14 6 21 8 28 Linear • For it to be linear, the rate of change needs to be the same on all sets of point • Change in y over the Change in x, will not differ • For it to be linear, you cannot have x raised to any power The x’s are increasing by 2’s The y’s are increasing by 7 As long as they are all the same increase, it is linear Linear or Non Linear x y -2 -1 0 1 -1 1 3 5 Linear or Non Linear x y 0 1 2 3 0 -5 -7 -21 Linear or Non Linear x y 5 8 11 14 -15 -11 -7 -3 Linear or Non Linear x y 0 1 2 3 1 2 4 8 Linear Vs Nonlinear • All linear functions can be written in Y = mx + b format Is y = 2x2 + 5 a linear function