Question

Use the table of the function f(x) = x4 - 4x to answer this question:

x f(x)
-2 24
-1 5
0 0
1 -3
2 8

What is the average rate of change from x = 0 to x = 2?

Answer 1

The slope formula is change of y over change of x.
So you say you don't recall this formula?

Answer 2

oh ok i recognize that formula. im going to do that real quick

Answer 3

The average rate of change will be

\[\large \frac{f(b) - f(a)}{b - a}\]

a being our lower bound and b being the higher bound...so from 0 to 2 means

a = 0
b = 2

f(b) means what the equation comes out to when you plug in 'b' for 'x' (or plug in 2 into the equation for 'x')

f(a) is the same but for when you plug in 0 for 'x'

Answer 4

so f(b) what does the equation equal when x = 2? (in your table provided, it looks like 8)

and f(a) what does it equal when x = 0? (again in the table, it comes out to 0)

so here

\[\large \frac{f(b) - f(a)}{b - a} = \frac{8 - 0}{2 - 0} = \frac{8}{2} = ?\]

Answer 5

ok sorry i took so long i was trying understand your work as best as possible. so the final answer is 4. thanks you so much for your help i understand it now thank you!

Answer 6

No problem at all, is there anything you need clarification on? :)

Answer 7

nope you explained it verry well (:

Answer 8

Very good :)

Answer 9

(;

Answer 10

;P