Given the following graph, determine whether the rate of change is uniform or not
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Given the following graph, determine whether the rate of change is uniform or not
Let's remember that if the function is not a straight line, its rate of change is not uniform.
Since the graph is not a straight line - the rate of change is not uniform.
Non-uniform
Given the following graph, determine whether function is constant
It's simple: if the graph is a perfectly straight line, the rate is uniform. If it curves, bends, or changes direction at all, the rate is non-uniform.
Non-uniform means the rate of change is different at different parts of the graph. Sometimes it increases quickly, sometimes slowly, and sometimes it might even decrease!
Yes! You can find the average rate of change between any two points using . Different intervals will give you different rates on a curved graph.
Non-uniform rates are everywhere! Think about speed changes when driving, population growth, or how fast water drains from a bathtub. Most real-world changes aren't constant!
If any part of the graph curves or bends, then overall the rate of change is non-uniform. Only completely straight graphs have uniform rates throughout.
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