Question

Will fan + Medal What is the average rate of change of the function f(x)=4(2)x
from x = 0 to x = 2?

Answer 1

A is the name of this average rate of change function
x - a represents the change in the input of the function f
f(x) - f(a) represents the change in the function f as the input changes from a to x
You might have noticed that the Average Rate of Change function looks a lot like the formula for the slope of a line. In fact, if you take any two distinct points on a curve, (x1,y1) and (x2,y2), the slope of the line connecting the points will be the average rate of change from x1 to x2
Example 1: Find the slope of the line going through the curve as x changes from 3 to 0.

Step 1: f (3) = -1 and f (0) = -4

Step 2: Use the slope formula to create the ratio



Step 3: Simplify.



Step 4: So the slope of the line going through the curve as x changes from 3 to 0 is 1.



Example 2: Find the average rate of change of from 3 to 0.

Since the average rate of change of a function is the slope of the associated line we have already done the work in the last problem. That is, the average rate of change of from 3 to 0 is 1. That is, over the interval [0,3], for every 1 unit change in x, there is a 1 unit change in the value of the function.

Answer 2

Would like fan and medal

Hope i helped.

Answer 3

still a bit confused

Answer 4

@Cazeh is there a easier way for you to explain it to me?

Answer 5

This is all i have dude i got it from a friend on skype ! :D

Answer 6

ah ok thank you then

Answer 7

np :D