Answer
Graphing f(x) = x+ .5, f(x) = x + 1, and f(x) = x +2 will not affect the rate of change of each of the graphs. The graphs with a higher b-value will simply have a higher y-intercept.
Work Step by Step
In the equation f(x) = ax+b, a = slope = rate of change. Since, for all three of these equation a = 1, the slope is the same for all of them and so is the rate of change. The graphs corresponding to functions with a higher b value will have a higher y-intercept since b is the value at which x=0, which is the y-intercept of a graph.
