average rate of change
Average rate of change = (change in output or dependent variable) / (change in input or independent variable)
The average rate of change of a function is the ratio of the change in the output or dependent variable over the change in the input or independent variable. It can be calculated using the formula:
Average rate of change = (change in output or dependent variable) / (change in input or independent variable)
For example, if we have a function f(x) = 2x^2 and we want to find the average rate of change between x=1 and x=3, we can plug in these values into the formula:
Average rate of change = (f(3) – f(1)) / (3-1)
= (2(3)^2 – 2(1)^2) / 2
= (18 – 2) / 2
= 8
Therefore, the average rate of change of f(x) between x=1 and x=3 is 8. This means that for every increase in x by 1, the output or dependent variable increases by an average of 8.
More Answers:
Mastering Positive Parabolas: Graphs, Equations, And Applications ExplainedThe Role Of A Vertex In Mathematics: From Geometry To Graph Theory
Mastering The Basics Of Parabolas: Equations, Vertex, And Applications In Real Life