Question

Urgha, can someone help me with Average Rate Of Change?

Answer 1

@ThisGirlPretty
@Hero
@will
@Elsa213
@kylieisweird101
@quickstudent
@rootbeer003
@Ultrilliam
@Vocaloid

Answer 2

hint: f(x2) - f(x1) / (x2-x1) is the formula for the rate of change from x1 to x2

compare this formula to your problem. what are x1 and x2?

Answer 3

I have no clue what I'm doing -.- please teach me from the start

Answer 4

ok, do you understand what f(x) means?

Answer 5

Oops, didn't mean to send that

Answer 6

An example is the function that relates each real number x to its square x^2. The output of a function f corresponding to an input x is denoted by f(x) (read "f of x"). In this example, if the input is −3, then the output is 9, and we may write f(−3) = 9.

Answer 7

ok, but do you really understand what f(x) means? can you explain what

f(7) means?

Answer 8

No, probably not.

Answer 9

ok

so, a "function" takes an input (such as x) and gives the output "f(x)". the thing inside the parentheses is the "input"

with me so far?

Answer 10

Yes.

Answer 11

good

let's do a simple example

f(x) = x + 1

x is the input, f(x) is the output.

we can substitute something else for x as the input. for example, if my input is "3", my output would be f(3), which is equal to...?

Answer 12

x+3?

Answer 13

close! remember,
f(x) = x + 1

is a function that takes the input and adds 1

so if the input is 3, f(3) = 3 + 1 = 4

with me so far?

Answer 14

ok.

so what do I do next?

Answer 15

the rate of change formula determines how quickly or slowly the output changes as the input changes

Answer 16

for example:

f(x) = 1000x changes very quickly compared to f(x) = 10x

Answer 17

the rate of change of the function is given by the formula:
\[\frac{ f(x_2)-f(x_1) }{ x_2 - x_1 }\]

where x1 and x2 are two input values (we can choose any two input values*)

Answer 18

with me so far?