What is the change in the value of a quantity by the elapsed time? For a function, this is the change in the y-value divided by the change in the x-value for two distinct points on the graph.
A. Average Rate of Change
B. Constant Rate of Change
C. Continuous
D. Discrete
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Prove: Functions with constant Rate of Change Are Linear. Suppose that the function has the same average rate of change between any two points.
Find the average rate of change of between the points and to show that
How does this show that is a linear functions? What is the slope, and what is the - intercpt?
Rearranging the equation in part to show that
For each graph below, identify the intercepts, domain, range, continuity, and behavior, extrema, and average rate of change.