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Rate of Change = Change in value/Change in time
to make this more clear, look at the line graph and pick two points of x. for example, we will use x=3 and x=1 in the equation f(x)=(x-3)^2
the average rate of change = change in y/change in x which equals function(b)-function(a)/b-a
with that, we get: f(3)-f(1)/3-1. this creates (3-3)^2-(1-3)^2/3-1
this simplies to 0-4/2 which equals -2 so the rate of change in f(x)=(x-3)^2 is -2.
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How do you figure how the rate of change by looking at a graph?
formula to figure out the rate of change of a line on a graph m= y2-y1/x2-x1
How do you find the rate of change on a table?
To find the rate of change on a table: the input is X and the output is Y (the left side is X and the right is Y). The formula for the rate of change is: Change of the dependent variable over change of independent variable or y over x. ^^^ I understood NONE of that...
What is the rate of change between any two points on a line?
it is the same as the slope, which can be found either graphically (rise over run) or algebraically using the formula (y2-y1)/(x2-x1)
What is the geometrical meaning of second derivative?
The first derivative is the rate of change, and the second derivative is the rate of change of the rate of change.
How is the steepness of the line is related to the rate of change?
the steepness of the line is the slope of the line which is the rate of change; the steeper the slope, the faster the rate of change
