Find the net change in the value of the function between the given inputs

f(x+h) - f(x)

= the net change in the function's value or net change in output

for a given change in input.

input=x, output = f(x), net change in input = h

for example, if f(x) = x^2

then for a change in x from 2 to 4

net change in output

= f(4)-f(2)

= 4^2 - 2^2

= 16 - 4

= 12

How do you find the net change of a function?

Given two points, (a,f(a)) ( a , f ( a ) ) and (b,f(b)) ( b , f ( b ) ) on the graph of f(x) , the net change is the difference between the two f(x) values. Thus, net change is given by f(b)−f(a) f ( b ) − f ( a ) .

What is Net Change function?

In other words, the net change in a function is the (definite) integral of its derivative. In particular, the net distance traveled (final position minus initial position) is the integral of velocity. The net change in velocity (final velocity minus initial velocity) is the integral of acceleration.

What is net change in math?

The net change theorem states that when a quantity changes, the final value equals the initial value plus the integral of the rate of change. Net change can be a positive number, a negative number, or zero.