Rate of Change
The relation between two quantities which displays how much greater one quantity is than another is called ratio.
Slope
The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as:
From the given graph :
We can see that the graph is a decreasing function ,as the value of y is constantly decreasing.
Hence, it is the example of decreasing function.
Also , from the graph, it is decreasing , hence the slope is also negative and the derivative of the function f(x) implies the slope of the function .If the slope of the graph is negative , then the derivative is also negative.
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