Question

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Select the argument that proves that a linear function f(x) = mx + b grows by equal differences over equal intervals.

A. Pick any two numbers x1 and x2 with x1 < x2. Then f(x2)−f(x1)=m(x2−x1) . That is, f grows by the slope times the change in x.
B. Pick any two numbers x1 and x2 with x1 < x2. Then f(x2)−f(x1)=mx2x1 . That is, f grows by the slope times the ratio of the values of x.
C. Pick any two numbers x1 and x2 with x1 < x2. Then f(x2)−f(x1)=m(x2−x1) . That is, f grows by the slope raised to the power of the change in x.
D. Pick any two numbers x1 and x2 with x1 < x