Write a function rule for the table. x: -3,-2,-1,0 f(x): 1,2,3,4 a) f(x)=x+4 b) f(x)=4x c) f(x)=x-4 d) f(x)=-4-x

y = x + 4   (Answer A)

Step-by-step explanation:

Note that when x = 0, y = 4, so the y-intercept is (0, 4)  Note also that as x increases by 1 from any given value to the next greater one, the 'run' is 1; the same behavior characterizes f(x).  Thus, the slope of the line through the points indicated is m = 1/1 = 1.

Using the slope-intercept formula, y = mx + b, we get y = x + 4   (Answer A)

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