You measure the change in the vertical direction (rise) per unit change in the horizontal direction (run).
The rate of change is constant between A and B if AB is a straight line.
Take any two points, A = (xa, ya) and B = (xb, yb)
then the average rate of change, between A and B = (yb- ya)/(xb- xa).
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When something has a constant rate of change it means that it has a linear graph. The function can be written in the slope intercept form of y = mx + b.
Find the derivative
Find the slope of the tangent to the graph at the point of interest.
You can determine if a rate of change is constant, by taking the instantaneous rate of change at multiple points - if they are all equal to each other, it can be assumed that the rate of change is constant. Alternatively, you can differentiate the function (if there is an associated function) - if this comes to a constant i.e. a number, then the rate of change is constant.
No. Only a linear function has a constant rate of change.No. Only a linear function has a constant rate of change.No. Only a linear function has a constant rate of change.No. Only a linear function has a constant rate of change.