Question

find the net change in the value of the function between the given inputs. f(x) = 4 − 7x; from 2 to 4

Answer 1

`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

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`

`= \bold{12}`